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Finding the Third Proportional to 144,000 and 319,963.50

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Solution

The third proportional to 144,000 and 319,963.50 is: 710,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000 : 319,963.50 = 319,963.50 : x
  2. Step 2: Convert to fraction form
    144,000/319,963.50 = 319,963.50/x
  3. Step 3: Cross multiply
    144,000x = 319,963.50 × 319,963.50
  4. Step 4: Simplify right side
    144,000x = 102,376,641,332.25
  5. Step 5: Solve for x
    x = 102,376,641,332.25/144,000
  6. Step 6: Final answer
    x = 710,948.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.