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Finding the Third Proportional to 499,777 and 712,281

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Solution

The third proportional to 499,777 and 712,281 is: 1,015,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,777 : 712,281 = 712,281 : x
  2. Step 2: Convert to fraction form
    499,777/712,281 = 712,281/x
  3. Step 3: Cross multiply
    499,777x = 712,281 × 712,281
  4. Step 4: Simplify right side
    499,777x = 507,344,222,961
  5. Step 5: Solve for x
    x = 507,344,222,961/499,777
  6. Step 6: Final answer
    x = 1,015,141.20

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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.