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Finding the Third Proportional to 175,488 and 278,784

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Solution

The third proportional to 175,488 and 278,784 is: 442,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,488 : 278,784 = 278,784 : x
  2. Step 2: Convert to fraction form
    175,488/278,784 = 278,784/x
  3. Step 3: Cross multiply
    175,488x = 278,784 × 278,784
  4. Step 4: Simplify right side
    175,488x = 77,720,518,656
  5. Step 5: Solve for x
    x = 77,720,518,656/175,488
  6. Step 6: Final answer
    x = 442,882.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.