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Finding the Third Proportional to 415,381 and 907,643

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Solution

The third proportional to 415,381 and 907,643 is: 1,983,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,381 : 907,643 = 907,643 : x
  2. Step 2: Convert to fraction form
    415,381/907,643 = 907,643/x
  3. Step 3: Cross multiply
    415,381x = 907,643 × 907,643
  4. Step 4: Simplify right side
    415,381x = 823,815,815,449
  5. Step 5: Solve for x
    x = 823,815,815,449/415,381
  6. Step 6: Final answer
    x = 1,983,277.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.