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Finding the Third Proportional to 687,828 and 917,349

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Solution

The third proportional to 687,828 and 917,349 is: 1,223,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,828 : 917,349 = 917,349 : x
  2. Step 2: Convert to fraction form
    687,828/917,349 = 917,349/x
  3. Step 3: Cross multiply
    687,828x = 917,349 × 917,349
  4. Step 4: Simplify right side
    687,828x = 841,529,187,801
  5. Step 5: Solve for x
    x = 841,529,187,801/687,828
  6. Step 6: Final answer
    x = 1,223,458.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.