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Finding the Third Proportional to 386,972 and 557,386

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Solution

The third proportional to 386,972 and 557,386 is: 802,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,972 : 557,386 = 557,386 : x
  2. Step 2: Convert to fraction form
    386,972/557,386 = 557,386/x
  3. Step 3: Cross multiply
    386,972x = 557,386 × 557,386
  4. Step 4: Simplify right side
    386,972x = 310,679,152,996
  5. Step 5: Solve for x
    x = 310,679,152,996/386,972
  6. Step 6: Final answer
    x = 802,846.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.