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Finding the Third Proportional to 61,218 and 135,594

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Solution

The third proportional to 61,218 and 135,594 is: 300,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,218 : 135,594 = 135,594 : x
  2. Step 2: Convert to fraction form
    61,218/135,594 = 135,594/x
  3. Step 3: Cross multiply
    61,218x = 135,594 × 135,594
  4. Step 4: Simplify right side
    61,218x = 18,385,732,836
  5. Step 5: Solve for x
    x = 18,385,732,836/61,218
  6. Step 6: Final answer
    x = 300,332.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.