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Finding the Third Proportional to 243,956.81 and 380,689.88

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Solution

The third proportional to 243,956.81 and 380,689.88 is: 594,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,956.81 : 380,689.88 = 380,689.88 : x
  2. Step 2: Convert to fraction form
    243,956.81/380,689.88 = 380,689.88/x
  3. Step 3: Cross multiply
    243,956.81x = 380,689.88 × 380,689.88
  4. Step 4: Simplify right side
    243,956.81x = 144,924,780,927.52
  5. Step 5: Solve for x
    x = 144,924,780,927.52/243,956.81
  6. Step 6: Final answer
    x = 594,059.17

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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.