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Finding the Third Proportional to 120,528 and 261,126.28

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Solution

The third proportional to 120,528 and 261,126.28 is: 565,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,528 : 261,126.28 = 261,126.28 : x
  2. Step 2: Convert to fraction form
    120,528/261,126.28 = 261,126.28/x
  3. Step 3: Cross multiply
    120,528x = 261,126.28 × 261,126.28
  4. Step 4: Simplify right side
    120,528x = 68,186,934,759.45
  5. Step 5: Solve for x
    x = 68,186,934,759.45/120,528
  6. Step 6: Final answer
    x = 565,735.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.