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Finding the Third Proportional to 181,716 and 424,455

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Solution

The third proportional to 181,716 and 424,455 is: 991,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,716 : 424,455 = 424,455 : x
  2. Step 2: Convert to fraction form
    181,716/424,455 = 424,455/x
  3. Step 3: Cross multiply
    181,716x = 424,455 × 424,455
  4. Step 4: Simplify right side
    181,716x = 180,162,047,025
  5. Step 5: Solve for x
    x = 180,162,047,025/181,716
  6. Step 6: Final answer
    x = 991,448.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.