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Finding the Third Proportional to 121,490 and 163,467

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Solution

The third proportional to 121,490 and 163,467 is: 219,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,490 : 163,467 = 163,467 : x
  2. Step 2: Convert to fraction form
    121,490/163,467 = 163,467/x
  3. Step 3: Cross multiply
    121,490x = 163,467 × 163,467
  4. Step 4: Simplify right side
    121,490x = 26,721,460,089
  5. Step 5: Solve for x
    x = 26,721,460,089/121,490
  6. Step 6: Final answer
    x = 219,947.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.