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Finding the Third Proportional to 129,157.50 and 279,064.50

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Solution

The third proportional to 129,157.50 and 279,064.50 is: 602,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,157.50 : 279,064.50 = 279,064.50 : x
  2. Step 2: Convert to fraction form
    129,157.50/279,064.50 = 279,064.50/x
  3. Step 3: Cross multiply
    129,157.50x = 279,064.50 × 279,064.50
  4. Step 4: Simplify right side
    129,157.50x = 77,876,995,160.25
  5. Step 5: Solve for x
    x = 77,876,995,160.25/129,157.50
  6. Step 6: Final answer
    x = 602,961.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.