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Finding the Third Proportional to 136,906 and 299,580

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Solution

The third proportional to 136,906 and 299,580 is: 655,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906 : 299,580 = 299,580 : x
  2. Step 2: Convert to fraction form
    136,906/299,580 = 299,580/x
  3. Step 3: Cross multiply
    136,906x = 299,580 × 299,580
  4. Step 4: Simplify right side
    136,906x = 89,748,176,400
  5. Step 5: Solve for x
    x = 89,748,176,400/136,906
  6. Step 6: Final answer
    x = 655,545.97

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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.