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Finding the Third Proportional to 147,197.25 and 317,709

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Solution

The third proportional to 147,197.25 and 317,709 is: 685,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,197.25 : 317,709 = 317,709 : x
  2. Step 2: Convert to fraction form
    147,197.25/317,709 = 317,709/x
  3. Step 3: Cross multiply
    147,197.25x = 317,709 × 317,709
  4. Step 4: Simplify right side
    147,197.25x = 100,939,008,681
  5. Step 5: Solve for x
    x = 100,939,008,681/147,197.25
  6. Step 6: Final answer
    x = 685,739.77

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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.