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Finding the Third Proportional to 138,209.63 and 301,432.50

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Solution

The third proportional to 138,209.63 and 301,432.50 is: 657,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,209.63 : 301,432.50 = 301,432.50 : x
  2. Step 2: Convert to fraction form
    138,209.63/301,432.50 = 301,432.50/x
  3. Step 3: Cross multiply
    138,209.63x = 301,432.50 × 301,432.50
  4. Step 4: Simplify right side
    138,209.63x = 90,861,552,056.25
  5. Step 5: Solve for x
    x = 90,861,552,056.25/138,209.63
  6. Step 6: Final answer
    x = 657,418.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.