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Finding the Third Proportional to 202,446,569,106 and 435,360,650,748

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Solution

The third proportional to 202,446,569,106 and 435,360,650,748 is: 936,241,582,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446,569,106 : 435,360,650,748 = 435,360,650,748 : x
  2. Step 2: Convert to fraction form
    202,446,569,106/435,360,650,748 = 435,360,650,748/x
  3. Step 3: Cross multiply
    202,446,569,106x = 435,360,650,748 × 435,360,650,748
  4. Step 4: Simplify right side
    202,446,569,106x = 189,538,896,219,722,020,290,560
  5. Step 5: Solve for x
    x = 189,538,896,219,722,020,290,560/202,446,569,106
  6. Step 6: Final answer
    x = 936,241,582,441.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.