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Finding the Third Proportional to 66,890 and 145,312

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Solution

The third proportional to 66,890 and 145,312 is: 315,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,890 : 145,312 = 145,312 : x
  2. Step 2: Convert to fraction form
    66,890/145,312 = 145,312/x
  3. Step 3: Cross multiply
    66,890x = 145,312 × 145,312
  4. Step 4: Simplify right side
    66,890x = 21,115,577,344
  5. Step 5: Solve for x
    x = 21,115,577,344/66,890
  6. Step 6: Final answer
    x = 315,676.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.