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Finding the Third Proportional to 138,526.88 and 299,200.50

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Solution

The third proportional to 138,526.88 and 299,200.50 is: 646,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,526.88 : 299,200.50 = 299,200.50 : x
  2. Step 2: Convert to fraction form
    138,526.88/299,200.50 = 299,200.50/x
  3. Step 3: Cross multiply
    138,526.88x = 299,200.50 × 299,200.50
  4. Step 4: Simplify right side
    138,526.88x = 89,520,939,200.25
  5. Step 5: Solve for x
    x = 89,520,939,200.25/138,526.88
  6. Step 6: Final answer
    x = 646,235.17

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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.