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Finding the Third Proportional to 145,080 and 318,672

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Solution

The third proportional to 145,080 and 318,672 is: 699,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,080 : 318,672 = 318,672 : x
  2. Step 2: Convert to fraction form
    145,080/318,672 = 318,672/x
  3. Step 3: Cross multiply
    145,080x = 318,672 × 318,672
  4. Step 4: Simplify right side
    145,080x = 101,551,843,584
  5. Step 5: Solve for x
    x = 101,551,843,584/145,080
  6. Step 6: Final answer
    x = 699,971.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.