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Finding the Third Proportional to 145,047.52 and 221,740.31

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Solution

The third proportional to 145,047.52 and 221,740.31 is: 338,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,047.52 : 221,740.31 = 221,740.31 : x
  2. Step 2: Convert to fraction form
    145,047.52/221,740.31 = 221,740.31/x
  3. Step 3: Cross multiply
    145,047.52x = 221,740.31 × 221,740.31
  4. Step 4: Simplify right side
    145,047.52x = 49,168,766,187.60
  5. Step 5: Solve for x
    x = 49,168,766,187.60/145,047.52
  6. Step 6: Final answer
    x = 338,983.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.