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Finding the Third Proportional to 257,086 and 553,646

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Solution

The third proportional to 257,086 and 553,646 is: 1,192,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,086 : 553,646 = 553,646 : x
  2. Step 2: Convert to fraction form
    257,086/553,646 = 553,646/x
  3. Step 3: Cross multiply
    257,086x = 553,646 × 553,646
  4. Step 4: Simplify right side
    257,086x = 306,523,893,316
  5. Step 5: Solve for x
    x = 306,523,893,316/257,086
  6. Step 6: Final answer
    x = 1,192,300.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.