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Finding the Third Proportional to 136,920 and 294,076

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Solution

The third proportional to 136,920 and 294,076 is: 631,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,920 : 294,076 = 294,076 : x
  2. Step 2: Convert to fraction form
    136,920/294,076 = 294,076/x
  3. Step 3: Cross multiply
    136,920x = 294,076 × 294,076
  4. Step 4: Simplify right side
    136,920x = 86,480,693,776
  5. Step 5: Solve for x
    x = 86,480,693,776/136,920
  6. Step 6: Final answer
    x = 631,614.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.