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Finding the Third Proportional to 181,568 and 390,776

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Solution

The third proportional to 181,568 and 390,776 is: 841,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,568 : 390,776 = 390,776 : x
  2. Step 2: Convert to fraction form
    181,568/390,776 = 390,776/x
  3. Step 3: Cross multiply
    181,568x = 390,776 × 390,776
  4. Step 4: Simplify right side
    181,568x = 152,705,882,176
  5. Step 5: Solve for x
    x = 152,705,882,176/181,568
  6. Step 6: Final answer
    x = 841,039.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.