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Finding the Third Proportional to 77,488 and 170,528

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Solution

The third proportional to 77,488 and 170,528 is: 375,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,488 : 170,528 = 170,528 : x
  2. Step 2: Convert to fraction form
    77,488/170,528 = 170,528/x
  3. Step 3: Cross multiply
    77,488x = 170,528 × 170,528
  4. Step 4: Simplify right side
    77,488x = 29,079,798,784
  5. Step 5: Solve for x
    x = 29,079,798,784/77,488
  6. Step 6: Final answer
    x = 375,281.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.