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Finding the Third Proportional to 74,445 and 160,561

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Solution

The third proportional to 74,445 and 160,561 is: 346,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,445 : 160,561 = 160,561 : x
  2. Step 2: Convert to fraction form
    74,445/160,561 = 160,561/x
  3. Step 3: Cross multiply
    74,445x = 160,561 × 160,561
  4. Step 4: Simplify right side
    74,445x = 25,779,834,721
  5. Step 5: Solve for x
    x = 25,779,834,721/74,445
  6. Step 6: Final answer
    x = 346,293.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.