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Finding the Third Proportional to 179,376 and 390,281.25

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Solution

The third proportional to 179,376 and 390,281.25 is: 849,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,376 : 390,281.25 = 390,281.25 : x
  2. Step 2: Convert to fraction form
    179,376/390,281.25 = 390,281.25/x
  3. Step 3: Cross multiply
    179,376x = 390,281.25 × 390,281.25
  4. Step 4: Simplify right side
    179,376x = 152,319,454,101.56
  5. Step 5: Solve for x
    x = 152,319,454,101.56/179,376
  6. Step 6: Final answer
    x = 849,162.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.