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Finding the Third Proportional to 63,778 and 139,664

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Solution

The third proportional to 63,778 and 139,664 is: 305,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,778 : 139,664 = 139,664 : x
  2. Step 2: Convert to fraction form
    63,778/139,664 = 139,664/x
  3. Step 3: Cross multiply
    63,778x = 139,664 × 139,664
  4. Step 4: Simplify right side
    63,778x = 19,506,032,896
  5. Step 5: Solve for x
    x = 19,506,032,896/63,778
  6. Step 6: Final answer
    x = 305,842.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.