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Finding the Third Proportional to 142,830 and 209,823.75

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Solution

The third proportional to 142,830 and 209,823.75 is: 308,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,830 : 209,823.75 = 209,823.75 : x
  2. Step 2: Convert to fraction form
    142,830/209,823.75 = 209,823.75/x
  3. Step 3: Cross multiply
    142,830x = 209,823.75 × 209,823.75
  4. Step 4: Simplify right side
    142,830x = 44,026,006,064.06
  5. Step 5: Solve for x
    x = 44,026,006,064.06/142,830
  6. Step 6: Final answer
    x = 308,240.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.