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Finding the Third Proportional to 369,554 and 557,659

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Solution

The third proportional to 369,554 and 557,659 is: 841,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,554 : 557,659 = 557,659 : x
  2. Step 2: Convert to fraction form
    369,554/557,659 = 557,659/x
  3. Step 3: Cross multiply
    369,554x = 557,659 × 557,659
  4. Step 4: Simplify right side
    369,554x = 310,983,560,281
  5. Step 5: Solve for x
    x = 310,983,560,281/369,554
  6. Step 6: Final answer
    x = 841,510.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.