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Finding the Third Proportional to 160,566 and 250,043

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Solution

The third proportional to 160,566 and 250,043 is: 389,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,566 : 250,043 = 250,043 : x
  2. Step 2: Convert to fraction form
    160,566/250,043 = 250,043/x
  3. Step 3: Cross multiply
    160,566x = 250,043 × 250,043
  4. Step 4: Simplify right side
    160,566x = 62,521,501,849
  5. Step 5: Solve for x
    x = 62,521,501,849/160,566
  6. Step 6: Final answer
    x = 389,381.95

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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.