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Finding the Third Proportional to 153,866.25 and 243,435.38

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Solution

The third proportional to 153,866.25 and 243,435.38 is: 385,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,866.25 : 243,435.38 = 243,435.38 : x
  2. Step 2: Convert to fraction form
    153,866.25/243,435.38 = 243,435.38/x
  3. Step 3: Cross multiply
    153,866.25x = 243,435.38 × 243,435.38
  4. Step 4: Simplify right side
    153,866.25x = 59,260,781,801.39
  5. Step 5: Solve for x
    x = 59,260,781,801.39/153,866.25
  6. Step 6: Final answer
    x = 385,144.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.