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Finding the Third Proportional to 103,417 and 151,840

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Solution

The third proportional to 103,417 and 151,840 is: 222,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417 : 151,840 = 151,840 : x
  2. Step 2: Convert to fraction form
    103,417/151,840 = 151,840/x
  3. Step 3: Cross multiply
    103,417x = 151,840 × 151,840
  4. Step 4: Simplify right side
    103,417x = 23,055,385,600
  5. Step 5: Solve for x
    x = 23,055,385,600/103,417
  6. Step 6: Final answer
    x = 222,936.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.