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Finding the Third Proportional to 74,290 and 108,590

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Solution

The third proportional to 74,290 and 108,590 is: 158,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,290 : 108,590 = 108,590 : x
  2. Step 2: Convert to fraction form
    74,290/108,590 = 108,590/x
  3. Step 3: Cross multiply
    74,290x = 108,590 × 108,590
  4. Step 4: Simplify right side
    74,290x = 11,791,788,100
  5. Step 5: Solve for x
    x = 11,791,788,100/74,290
  6. Step 6: Final answer
    x = 158,726.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.