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Finding the Third Proportional to 305,438 and 506,141

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Solution

The third proportional to 305,438 and 506,141 is: 838,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,438 : 506,141 = 506,141 : x
  2. Step 2: Convert to fraction form
    305,438/506,141 = 506,141/x
  3. Step 3: Cross multiply
    305,438x = 506,141 × 506,141
  4. Step 4: Simplify right side
    305,438x = 256,178,711,881
  5. Step 5: Solve for x
    x = 256,178,711,881/305,438
  6. Step 6: Final answer
    x = 838,725.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.