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Finding the Third Proportional to 121,536 and 186,560

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Solution

The third proportional to 121,536 and 186,560 is: 286,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,536 : 186,560 = 186,560 : x
  2. Step 2: Convert to fraction form
    121,536/186,560 = 186,560/x
  3. Step 3: Cross multiply
    121,536x = 186,560 × 186,560
  4. Step 4: Simplify right side
    121,536x = 34,804,633,600
  5. Step 5: Solve for x
    x = 34,804,633,600/121,536
  6. Step 6: Final answer
    x = 286,373.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.