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Finding the Third Proportional to 181,521 and 487,701

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Solution

The third proportional to 181,521 and 487,701 is: 1,310,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,521 : 487,701 = 487,701 : x
  2. Step 2: Convert to fraction form
    181,521/487,701 = 487,701/x
  3. Step 3: Cross multiply
    181,521x = 487,701 × 487,701
  4. Step 4: Simplify right side
    181,521x = 237,852,265,401
  5. Step 5: Solve for x
    x = 237,852,265,401/181,521
  6. Step 6: Final answer
    x = 1,310,329.19

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.