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Finding the Third Proportional to 868,210 and 972,007

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Solution

The third proportional to 868,210 and 972,007 is: 1,088,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,210 : 972,007 = 972,007 : x
  2. Step 2: Convert to fraction form
    868,210/972,007 = 972,007/x
  3. Step 3: Cross multiply
    868,210x = 972,007 × 972,007
  4. Step 4: Simplify right side
    868,210x = 944,797,608,049
  5. Step 5: Solve for x
    x = 944,797,608,049/868,210
  6. Step 6: Final answer
    x = 1,088,213.23

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.