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Finding the Third Proportional to 173,739 and 380,730

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Solution

The third proportional to 173,739 and 380,730 is: 834,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,739 : 380,730 = 380,730 : x
  2. Step 2: Convert to fraction form
    173,739/380,730 = 380,730/x
  3. Step 3: Cross multiply
    173,739x = 380,730 × 380,730
  4. Step 4: Simplify right side
    173,739x = 144,955,332,900
  5. Step 5: Solve for x
    x = 144,955,332,900/173,739
  6. Step 6: Final answer
    x = 834,328.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.