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Finding the Third Proportional to 31,445 and 66,130

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Solution

The third proportional to 31,445 and 66,130 is: 139,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445 : 66,130 = 66,130 : x
  2. Step 2: Convert to fraction form
    31,445/66,130 = 66,130/x
  3. Step 3: Cross multiply
    31,445x = 66,130 × 66,130
  4. Step 4: Simplify right side
    31,445x = 4,373,176,900
  5. Step 5: Solve for x
    x = 4,373,176,900/31,445
  6. Step 6: Final answer
    x = 139,073.84

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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.