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Finding the Third Proportional to 187,434 and 299,778

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Solution

The third proportional to 187,434 and 299,778 is: 479,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,434 : 299,778 = 299,778 : x
  2. Step 2: Convert to fraction form
    187,434/299,778 = 299,778/x
  3. Step 3: Cross multiply
    187,434x = 299,778 × 299,778
  4. Step 4: Simplify right side
    187,434x = 89,866,849,284
  5. Step 5: Solve for x
    x = 89,866,849,284/187,434
  6. Step 6: Final answer
    x = 479,458.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.