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Finding the Third Proportional to 145,860 and 318,072

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Solution

The third proportional to 145,860 and 318,072 is: 693,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,860 : 318,072 = 318,072 : x
  2. Step 2: Convert to fraction form
    145,860/318,072 = 318,072/x
  3. Step 3: Cross multiply
    145,860x = 318,072 × 318,072
  4. Step 4: Simplify right side
    145,860x = 101,169,797,184
  5. Step 5: Solve for x
    x = 101,169,797,184/145,860
  6. Step 6: Final answer
    x = 693,608.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.