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Finding the Third Proportional to 136,910.50 and 299,587.50

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Solution

The third proportional to 136,910.50 and 299,587.50 is: 655,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,910.50 : 299,587.50 = 299,587.50 : x
  2. Step 2: Convert to fraction form
    136,910.50/299,587.50 = 299,587.50/x
  3. Step 3: Cross multiply
    136,910.50x = 299,587.50 × 299,587.50
  4. Step 4: Simplify right side
    136,910.50x = 89,752,670,156.25
  5. Step 5: Solve for x
    x = 89,752,670,156.25/136,910.50
  6. Step 6: Final answer
    x = 655,557.24

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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.