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Finding the Third Proportional to 687,901 and 934,153

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Solution

The third proportional to 687,901 and 934,153 is: 1,268,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,901 : 934,153 = 934,153 : x
  2. Step 2: Convert to fraction form
    687,901/934,153 = 934,153/x
  3. Step 3: Cross multiply
    687,901x = 934,153 × 934,153
  4. Step 4: Simplify right side
    687,901x = 872,641,827,409
  5. Step 5: Solve for x
    x = 872,641,827,409/687,901
  6. Step 6: Final answer
    x = 1,268,557.29

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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.