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Finding the Third Proportional to 147,335.63 and 318,147.75

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Solution

The third proportional to 147,335.63 and 318,147.75 is: 686,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,335.63 : 318,147.75 = 318,147.75 : x
  2. Step 2: Convert to fraction form
    147,335.63/318,147.75 = 318,147.75/x
  3. Step 3: Cross multiply
    147,335.63x = 318,147.75 × 318,147.75
  4. Step 4: Simplify right side
    147,335.63x = 101,217,990,830.06
  5. Step 5: Solve for x
    x = 101,217,990,830.06/147,335.63
  6. Step 6: Final answer
    x = 686,989.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.