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Finding the Third Proportional to 64,686 and 137,220

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Solution

The third proportional to 64,686 and 137,220 is: 291,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,686 : 137,220 = 137,220 : x
  2. Step 2: Convert to fraction form
    64,686/137,220 = 137,220/x
  3. Step 3: Cross multiply
    64,686x = 137,220 × 137,220
  4. Step 4: Simplify right side
    64,686x = 18,829,328,400
  5. Step 5: Solve for x
    x = 18,829,328,400/64,686
  6. Step 6: Final answer
    x = 291,088.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.