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Finding the Third Proportional to 131,567 and 288,121

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Solution

The third proportional to 131,567 and 288,121 is: 630,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,567 : 288,121 = 288,121 : x
  2. Step 2: Convert to fraction form
    131,567/288,121 = 288,121/x
  3. Step 3: Cross multiply
    131,567x = 288,121 × 288,121
  4. Step 4: Simplify right side
    131,567x = 83,013,710,641
  5. Step 5: Solve for x
    x = 83,013,710,641/131,567
  6. Step 6: Final answer
    x = 630,961.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.