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Finding the Third Proportional to 513,428 and 799,149

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Solution

The third proportional to 513,428 and 799,149 is: 1,243,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,428 : 799,149 = 799,149 : x
  2. Step 2: Convert to fraction form
    513,428/799,149 = 799,149/x
  3. Step 3: Cross multiply
    513,428x = 799,149 × 799,149
  4. Step 4: Simplify right side
    513,428x = 638,639,124,201
  5. Step 5: Solve for x
    x = 638,639,124,201/513,428
  6. Step 6: Final answer
    x = 1,243,872.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.