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Finding the Third Proportional to 147,165.56 and 317,849.81

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Solution

The third proportional to 147,165.56 and 317,849.81 is: 686,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,165.56 : 317,849.81 = 317,849.81 : x
  2. Step 2: Convert to fraction form
    147,165.56/317,849.81 = 317,849.81/x
  3. Step 3: Cross multiply
    147,165.56x = 317,849.81 × 317,849.81
  4. Step 4: Simplify right side
    147,165.56x = 101,028,503,306.29
  5. Step 5: Solve for x
    x = 101,028,503,306.29/147,165.56
  6. Step 6: Final answer
    x = 686,495.55

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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.