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Finding the Third Proportional to 403,960 and 626,354

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Solution

The third proportional to 403,960 and 626,354 is: 971,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,960 : 626,354 = 626,354 : x
  2. Step 2: Convert to fraction form
    403,960/626,354 = 626,354/x
  3. Step 3: Cross multiply
    403,960x = 626,354 × 626,354
  4. Step 4: Simplify right side
    403,960x = 392,319,333,316
  5. Step 5: Solve for x
    x = 392,319,333,316/403,960
  6. Step 6: Final answer
    x = 971,183.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.