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Finding the Third Proportional to 243,909 and 383,125.50

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Solution

The third proportional to 243,909 and 383,125.50 is: 601,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,909 : 383,125.50 = 383,125.50 : x
  2. Step 2: Convert to fraction form
    243,909/383,125.50 = 383,125.50/x
  3. Step 3: Cross multiply
    243,909x = 383,125.50 × 383,125.50
  4. Step 4: Simplify right side
    243,909x = 146,785,148,750.25
  5. Step 5: Solve for x
    x = 146,785,148,750.25/243,909
  6. Step 6: Final answer
    x = 601,802.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.