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Finding the Third Proportional to 438,102 and 659,097

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Solution

The third proportional to 438,102 and 659,097 is: 991,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,102 : 659,097 = 659,097 : x
  2. Step 2: Convert to fraction form
    438,102/659,097 = 659,097/x
  3. Step 3: Cross multiply
    438,102x = 659,097 × 659,097
  4. Step 4: Simplify right side
    438,102x = 434,408,855,409
  5. Step 5: Solve for x
    x = 434,408,855,409/438,102
  6. Step 6: Final answer
    x = 991,570.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.