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Finding the Third Proportional to 255,000 and 554,712

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Solution

The third proportional to 255,000 and 554,712 is: 1,206,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,000 : 554,712 = 554,712 : x
  2. Step 2: Convert to fraction form
    255,000/554,712 = 554,712/x
  3. Step 3: Cross multiply
    255,000x = 554,712 × 554,712
  4. Step 4: Simplify right side
    255,000x = 307,705,402,944
  5. Step 5: Solve for x
    x = 307,705,402,944/255,000
  6. Step 6: Final answer
    x = 1,206,687.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.