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Finding the Third Proportional to 357,048 and 553,311

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Solution

The third proportional to 357,048 and 553,311 is: 857,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,048 : 553,311 = 553,311 : x
  2. Step 2: Convert to fraction form
    357,048/553,311 = 553,311/x
  3. Step 3: Cross multiply
    357,048x = 553,311 × 553,311
  4. Step 4: Simplify right side
    357,048x = 306,153,062,721
  5. Step 5: Solve for x
    x = 306,153,062,721/357,048
  6. Step 6: Final answer
    x = 857,456.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.