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Finding the Third Proportional to 781,256,305.50 and 1,669,957,125

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Solution

The third proportional to 781,256,305.50 and 1,669,957,125 is: 3,569,579,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,256,305.50 : 1,669,957,125 = 1,669,957,125 : x
  2. Step 2: Convert to fraction form
    781,256,305.50/1,669,957,125 = 1,669,957,125/x
  3. Step 3: Cross multiply
    781,256,305.50x = 1,669,957,125 × 1,669,957,125
  4. Step 4: Simplify right side
    781,256,305.50x = 2,788,756,799,338,265,600
  5. Step 5: Solve for x
    x = 2,788,756,799,338,265,600/781,256,305.50
  6. Step 6: Final answer
    x = 3,569,579,892.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.