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Finding the Third Proportional to 66,478 and 145,430

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Solution

The third proportional to 66,478 and 145,430 is: 318,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,478 : 145,430 = 145,430 : x
  2. Step 2: Convert to fraction form
    66,478/145,430 = 145,430/x
  3. Step 3: Cross multiply
    66,478x = 145,430 × 145,430
  4. Step 4: Simplify right side
    66,478x = 21,149,884,900
  5. Step 5: Solve for x
    x = 21,149,884,900/66,478
  6. Step 6: Final answer
    x = 318,148.63

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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.