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Finding the Third Proportional to 587,721 and 812,097

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Solution

The third proportional to 587,721 and 812,097 is: 1,122,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,721 : 812,097 = 812,097 : x
  2. Step 2: Convert to fraction form
    587,721/812,097 = 812,097/x
  3. Step 3: Cross multiply
    587,721x = 812,097 × 812,097
  4. Step 4: Simplify right side
    587,721x = 659,501,537,409
  5. Step 5: Solve for x
    x = 659,501,537,409/587,721
  6. Step 6: Final answer
    x = 1,122,133.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.