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Finding the Third Proportional to 179,776 and 390,928

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Solution

The third proportional to 179,776 and 390,928 is: 850,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,776 : 390,928 = 390,928 : x
  2. Step 2: Convert to fraction form
    179,776/390,928 = 390,928/x
  3. Step 3: Cross multiply
    179,776x = 390,928 × 390,928
  4. Step 4: Simplify right side
    179,776x = 152,824,701,184
  5. Step 5: Solve for x
    x = 152,824,701,184/179,776
  6. Step 6: Final answer
    x = 850,084

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.