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Finding the Third Proportional to 312,905,287.50 and 651,561,364.50

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Solution

The third proportional to 312,905,287.50 and 651,561,364.50 is: 1,356,743,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,905,287.50 : 651,561,364.50 = 651,561,364.50 : x
  2. Step 2: Convert to fraction form
    312,905,287.50/651,561,364.50 = 651,561,364.50/x
  3. Step 3: Cross multiply
    312,905,287.50x = 651,561,364.50 × 651,561,364.50
  4. Step 4: Simplify right side
    312,905,287.50x = 424,532,211,709,101,888
  5. Step 5: Solve for x
    x = 424,532,211,709,101,888/312,905,287.50
  6. Step 6: Final answer
    x = 1,356,743,489.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.