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Finding the Third Proportional to 402,332 and 563,905

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Solution

The third proportional to 402,332 and 563,905 is: 790,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,332 : 563,905 = 563,905 : x
  2. Step 2: Convert to fraction form
    402,332/563,905 = 563,905/x
  3. Step 3: Cross multiply
    402,332x = 563,905 × 563,905
  4. Step 4: Simplify right side
    402,332x = 317,988,849,025
  5. Step 5: Solve for x
    x = 317,988,849,025/402,332
  6. Step 6: Final answer
    x = 790,364.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.