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Finding the Third Proportional to 438,422 and 657,631

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Solution

The third proportional to 438,422 and 657,631 is: 986,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,422 : 657,631 = 657,631 : x
  2. Step 2: Convert to fraction form
    438,422/657,631 = 657,631/x
  3. Step 3: Cross multiply
    438,422x = 657,631 × 657,631
  4. Step 4: Simplify right side
    438,422x = 432,478,532,161
  5. Step 5: Solve for x
    x = 432,478,532,161/438,422
  6. Step 6: Final answer
    x = 986,443.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.