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Finding the Third Proportional to 63,485 and 139,424

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Solution

The third proportional to 63,485 and 139,424 is: 306,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,485 : 139,424 = 139,424 : x
  2. Step 2: Convert to fraction form
    63,485/139,424 = 139,424/x
  3. Step 3: Cross multiply
    63,485x = 139,424 × 139,424
  4. Step 4: Simplify right side
    63,485x = 19,439,051,776
  5. Step 5: Solve for x
    x = 19,439,051,776/63,485
  6. Step 6: Final answer
    x = 306,199.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.