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Finding the Third Proportional to 136,988 and 294,390

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Solution

The third proportional to 136,988 and 294,390 is: 632,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,988 : 294,390 = 294,390 : x
  2. Step 2: Convert to fraction form
    136,988/294,390 = 294,390/x
  3. Step 3: Cross multiply
    136,988x = 294,390 × 294,390
  4. Step 4: Simplify right side
    136,988x = 86,665,472,100
  5. Step 5: Solve for x
    x = 86,665,472,100/136,988
  6. Step 6: Final answer
    x = 632,650.10

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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.