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Finding the Third Proportional to 333,487 and 499,312

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Solution

The third proportional to 333,487 and 499,312 is: 747,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,487 : 499,312 = 499,312 : x
  2. Step 2: Convert to fraction form
    333,487/499,312 = 499,312/x
  3. Step 3: Cross multiply
    333,487x = 499,312 × 499,312
  4. Step 4: Simplify right side
    333,487x = 249,312,473,344
  5. Step 5: Solve for x
    x = 249,312,473,344/333,487
  6. Step 6: Final answer
    x = 747,592.78

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