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Finding the Third Proportional to 66,444 and 145,346

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Solution

The third proportional to 66,444 and 145,346 is: 317,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,444 : 145,346 = 145,346 : x
  2. Step 2: Convert to fraction form
    66,444/145,346 = 145,346/x
  3. Step 3: Cross multiply
    66,444x = 145,346 × 145,346
  4. Step 4: Simplify right side
    66,444x = 21,125,459,716
  5. Step 5: Solve for x
    x = 21,125,459,716/66,444
  6. Step 6: Final answer
    x = 317,943.83

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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.