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Finding the Third Proportional to 438,420 and 657,628

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Solution

The third proportional to 438,420 and 657,628 is: 986,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,420 : 657,628 = 657,628 : x
  2. Step 2: Convert to fraction form
    438,420/657,628 = 657,628/x
  3. Step 3: Cross multiply
    438,420x = 657,628 × 657,628
  4. Step 4: Simplify right side
    438,420x = 432,474,586,384
  5. Step 5: Solve for x
    x = 432,474,586,384/438,420
  6. Step 6: Final answer
    x = 986,439.00

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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.