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Finding the Third Proportional to 868,212 and 972,009

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Solution

The third proportional to 868,212 and 972,009 is: 1,088,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,212 : 972,009 = 972,009 : x
  2. Step 2: Convert to fraction form
    868,212/972,009 = 972,009/x
  3. Step 3: Cross multiply
    868,212x = 972,009 × 972,009
  4. Step 4: Simplify right side
    868,212x = 944,801,496,081
  5. Step 5: Solve for x
    x = 944,801,496,081/868,212
  6. Step 6: Final answer
    x = 1,088,215.20

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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.