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Finding the Third Proportional to 170,613 and 398,709

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Solution

The third proportional to 170,613 and 398,709 is: 931,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,613 : 398,709 = 398,709 : x
  2. Step 2: Convert to fraction form
    170,613/398,709 = 398,709/x
  3. Step 3: Cross multiply
    170,613x = 398,709 × 398,709
  4. Step 4: Simplify right side
    170,613x = 158,968,866,681
  5. Step 5: Solve for x
    x = 158,968,866,681/170,613
  6. Step 6: Final answer
    x = 931,751.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.