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Finding the Third Proportional to 454,152 and 687,516

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Solution

The third proportional to 454,152 and 687,516 is: 1,040,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,152 : 687,516 = 687,516 : x
  2. Step 2: Convert to fraction form
    454,152/687,516 = 687,516/x
  3. Step 3: Cross multiply
    454,152x = 687,516 × 687,516
  4. Step 4: Simplify right side
    454,152x = 472,678,250,256
  5. Step 5: Solve for x
    x = 472,678,250,256/454,152
  6. Step 6: Final answer
    x = 1,040,793.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.