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Finding the Third Proportional to 145,534 and 318,121

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Solution

The third proportional to 145,534 and 318,121 is: 695,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,534 : 318,121 = 318,121 : x
  2. Step 2: Convert to fraction form
    145,534/318,121 = 318,121/x
  3. Step 3: Cross multiply
    145,534x = 318,121 × 318,121
  4. Step 4: Simplify right side
    145,534x = 101,200,970,641
  5. Step 5: Solve for x
    x = 101,200,970,641/145,534
  6. Step 6: Final answer
    x = 695,376.82

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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.