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Finding the Third Proportional to 410,426 and 615,651

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Solution

The third proportional to 410,426 and 615,651 is: 923,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,426 : 615,651 = 615,651 : x
  2. Step 2: Convert to fraction form
    410,426/615,651 = 615,651/x
  3. Step 3: Cross multiply
    410,426x = 615,651 × 615,651
  4. Step 4: Simplify right side
    410,426x = 379,026,153,801
  5. Step 5: Solve for x
    x = 379,026,153,801/410,426
  6. Step 6: Final answer
    x = 923,494.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.