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Finding the Third Proportional to 145,743 and 318,487

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Solution

The third proportional to 145,743 and 318,487 is: 695,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,743 : 318,487 = 318,487 : x
  2. Step 2: Convert to fraction form
    145,743/318,487 = 318,487/x
  3. Step 3: Cross multiply
    145,743x = 318,487 × 318,487
  4. Step 4: Simplify right side
    145,743x = 101,433,969,169
  5. Step 5: Solve for x
    x = 101,433,969,169/145,743
  6. Step 6: Final answer
    x = 695,978.33

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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.