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Finding the Third Proportional to 75,445 and 105,730

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Solution

The third proportional to 75,445 and 105,730 is: 148,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,445 : 105,730 = 105,730 : x
  2. Step 2: Convert to fraction form
    75,445/105,730 = 105,730/x
  3. Step 3: Cross multiply
    75,445x = 105,730 × 105,730
  4. Step 4: Simplify right side
    75,445x = 11,178,832,900
  5. Step 5: Solve for x
    x = 11,178,832,900/75,445
  6. Step 6: Final answer
    x = 148,171.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.