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Finding the Third Proportional to 403,332 and 509,715

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Solution

The third proportional to 403,332 and 509,715 is: 644,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,332 : 509,715 = 509,715 : x
  2. Step 2: Convert to fraction form
    403,332/509,715 = 509,715/x
  3. Step 3: Cross multiply
    403,332x = 509,715 × 509,715
  4. Step 4: Simplify right side
    403,332x = 259,809,381,225
  5. Step 5: Solve for x
    x = 259,809,381,225/403,332
  6. Step 6: Final answer
    x = 644,157.62

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.