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Finding the Third Proportional to 66,929 and 139,403

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Solution

The third proportional to 66,929 and 139,403 is: 290,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,929 : 139,403 = 139,403 : x
  2. Step 2: Convert to fraction form
    66,929/139,403 = 139,403/x
  3. Step 3: Cross multiply
    66,929x = 139,403 × 139,403
  4. Step 4: Simplify right side
    66,929x = 19,433,196,409
  5. Step 5: Solve for x
    x = 19,433,196,409/66,929
  6. Step 6: Final answer
    x = 290,355.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.