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Finding the Third Proportional to 64,643 and 137,112

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Solution

The third proportional to 64,643 and 137,112 is: 290,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643 : 137,112 = 137,112 : x
  2. Step 2: Convert to fraction form
    64,643/137,112 = 137,112/x
  3. Step 3: Cross multiply
    64,643x = 137,112 × 137,112
  4. Step 4: Simplify right side
    64,643x = 18,799,700,544
  5. Step 5: Solve for x
    x = 18,799,700,544/64,643
  6. Step 6: Final answer
    x = 290,823.45

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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.