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Finding the Third Proportional to 438,628,220 and 963,339,340

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Solution

The third proportional to 438,628,220 and 963,339,340 is: 2,115,738,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,628,220 : 963,339,340 = 963,339,340 : x
  2. Step 2: Convert to fraction form
    438,628,220/963,339,340 = 963,339,340/x
  3. Step 3: Cross multiply
    438,628,220x = 963,339,340 × 963,339,340
  4. Step 4: Simplify right side
    438,628,220x = 928,022,683,991,635,584
  5. Step 5: Solve for x
    x = 928,022,683,991,635,584/438,628,220
  6. Step 6: Final answer
    x = 2,115,738,663.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.