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Finding the Third Proportional to 138,377 and 302,391

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Solution

The third proportional to 138,377 and 302,391 is: 660,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,377 : 302,391 = 302,391 : x
  2. Step 2: Convert to fraction form
    138,377/302,391 = 302,391/x
  3. Step 3: Cross multiply
    138,377x = 302,391 × 302,391
  4. Step 4: Simplify right side
    138,377x = 91,440,316,881
  5. Step 5: Solve for x
    x = 91,440,316,881/138,377
  6. Step 6: Final answer
    x = 660,805.75

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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.