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Finding the Third Proportional to 384,140 and 553,327

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Solution

The third proportional to 384,140 and 553,327 is: 797,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140 : 553,327 = 553,327 : x
  2. Step 2: Convert to fraction form
    384,140/553,327 = 553,327/x
  3. Step 3: Cross multiply
    384,140x = 553,327 × 553,327
  4. Step 4: Simplify right side
    384,140x = 306,170,768,929
  5. Step 5: Solve for x
    x = 306,170,768,929/384,140
  6. Step 6: Final answer
    x = 797,029.13

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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.