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Finding the Third Proportional to 499,908 and 712,449.75

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Solution

The third proportional to 499,908 and 712,449.75 is: 1,015,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,908 : 712,449.75 = 712,449.75 : x
  2. Step 2: Convert to fraction form
    499,908/712,449.75 = 712,449.75/x
  3. Step 3: Cross multiply
    499,908x = 712,449.75 × 712,449.75
  4. Step 4: Simplify right side
    499,908x = 507,584,646,275.06
  5. Step 5: Solve for x
    x = 507,584,646,275.06/499,908
  6. Step 6: Final answer
    x = 1,015,356.12

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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.