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Finding the Third Proportional to 687,897 and 934,147

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Solution

The third proportional to 687,897 and 934,147 is: 1,268,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,897 : 934,147 = 934,147 : x
  2. Step 2: Convert to fraction form
    687,897/934,147 = 934,147/x
  3. Step 3: Cross multiply
    687,897x = 934,147 × 934,147
  4. Step 4: Simplify right side
    687,897x = 872,630,617,609
  5. Step 5: Solve for x
    x = 872,630,617,609/687,897
  6. Step 6: Final answer
    x = 1,268,548.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.