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Finding the Third Proportional to 121,492 and 163,470

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Solution

The third proportional to 121,492 and 163,470 is: 219,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,492 : 163,470 = 163,470 : x
  2. Step 2: Convert to fraction form
    121,492/163,470 = 163,470/x
  3. Step 3: Cross multiply
    121,492x = 163,470 × 163,470
  4. Step 4: Simplify right side
    121,492x = 26,722,440,900
  5. Step 5: Solve for x
    x = 26,722,440,900/121,492
  6. Step 6: Final answer
    x = 219,952.27

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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.