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Finding the Third Proportional to 499,781 and 712,287

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Solution

The third proportional to 499,781 and 712,287 is: 1,015,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,781 : 712,287 = 712,287 : x
  2. Step 2: Convert to fraction form
    499,781/712,287 = 712,287/x
  3. Step 3: Cross multiply
    499,781x = 712,287 × 712,287
  4. Step 4: Simplify right side
    499,781x = 507,352,770,369
  5. Step 5: Solve for x
    x = 507,352,770,369/499,781
  6. Step 6: Final answer
    x = 1,015,150.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.