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Finding the Third Proportional to 63,628 and 86,370

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Solution

The third proportional to 63,628 and 86,370 is: 117,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,628 : 86,370 = 86,370 : x
  2. Step 2: Convert to fraction form
    63,628/86,370 = 86,370/x
  3. Step 3: Cross multiply
    63,628x = 86,370 × 86,370
  4. Step 4: Simplify right side
    63,628x = 7,459,776,900
  5. Step 5: Solve for x
    x = 7,459,776,900/63,628
  6. Step 6: Final answer
    x = 117,240.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.