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Finding the Third Proportional to 279,981 and 432,351

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Solution

The third proportional to 279,981 and 432,351 is: 667,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,981 : 432,351 = 432,351 : x
  2. Step 2: Convert to fraction form
    279,981/432,351 = 432,351/x
  3. Step 3: Cross multiply
    279,981x = 432,351 × 432,351
  4. Step 4: Simplify right side
    279,981x = 186,927,387,201
  5. Step 5: Solve for x
    x = 186,927,387,201/279,981
  6. Step 6: Final answer
    x = 667,643.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.