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Finding the Third Proportional to 61,808 and 133,470

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Solution

The third proportional to 61,808 and 133,470 is: 288,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,808 : 133,470 = 133,470 : x
  2. Step 2: Convert to fraction form
    61,808/133,470 = 133,470/x
  3. Step 3: Cross multiply
    61,808x = 133,470 × 133,470
  4. Step 4: Simplify right side
    61,808x = 17,814,240,900
  5. Step 5: Solve for x
    x = 17,814,240,900/61,808
  6. Step 6: Final answer
    x = 288,219.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.