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Finding the Third Proportional to 66,480 and 139,931

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Solution

The third proportional to 66,480 and 139,931 is: 294,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480 : 139,931 = 139,931 : x
  2. Step 2: Convert to fraction form
    66,480/139,931 = 139,931/x
  3. Step 3: Cross multiply
    66,480x = 139,931 × 139,931
  4. Step 4: Simplify right side
    66,480x = 19,580,684,761
  5. Step 5: Solve for x
    x = 19,580,684,761/66,480
  6. Step 6: Final answer
    x = 294,534.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.