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Finding the Third Proportional to 256,800 and 369,901.50

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Solution

The third proportional to 256,800 and 369,901.50 is: 532,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,800 : 369,901.50 = 369,901.50 : x
  2. Step 2: Convert to fraction form
    256,800/369,901.50 = 369,901.50/x
  3. Step 3: Cross multiply
    256,800x = 369,901.50 × 369,901.50
  4. Step 4: Simplify right side
    256,800x = 136,827,119,702.25
  5. Step 5: Solve for x
    x = 136,827,119,702.25/256,800
  6. Step 6: Final answer
    x = 532,815.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.