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Finding the Third Proportional to 149,480 and 218,470

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Solution

The third proportional to 149,480 and 218,470 is: 319,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,480 : 218,470 = 218,470 : x
  2. Step 2: Convert to fraction form
    149,480/218,470 = 218,470/x
  3. Step 3: Cross multiply
    149,480x = 218,470 × 218,470
  4. Step 4: Simplify right side
    149,480x = 47,729,140,900
  5. Step 5: Solve for x
    x = 47,729,140,900/149,480
  6. Step 6: Final answer
    x = 319,301.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.