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Finding the Third Proportional to 153,339 and 239,332.50

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Solution

The third proportional to 153,339 and 239,332.50 is: 373,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,339 : 239,332.50 = 239,332.50 : x
  2. Step 2: Convert to fraction form
    153,339/239,332.50 = 239,332.50/x
  3. Step 3: Cross multiply
    153,339x = 239,332.50 × 239,332.50
  4. Step 4: Simplify right side
    153,339x = 57,280,045,556.25
  5. Step 5: Solve for x
    x = 57,280,045,556.25/153,339
  6. Step 6: Final answer
    x = 373,551.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.