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Finding the Third Proportional to 368,505 and 781,294

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Solution

The third proportional to 368,505 and 781,294 is: 1,656,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,505 : 781,294 = 781,294 : x
  2. Step 2: Convert to fraction form
    368,505/781,294 = 781,294/x
  3. Step 3: Cross multiply
    368,505x = 781,294 × 781,294
  4. Step 4: Simplify right side
    368,505x = 610,420,314,436
  5. Step 5: Solve for x
    x = 610,420,314,436/368,505
  6. Step 6: Final answer
    x = 1,656,477.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.