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Finding the Third Proportional to 255,150 and 559,386

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Solution

The third proportional to 255,150 and 559,386 is: 1,226,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,150 : 559,386 = 559,386 : x
  2. Step 2: Convert to fraction form
    255,150/559,386 = 559,386/x
  3. Step 3: Cross multiply
    255,150x = 559,386 × 559,386
  4. Step 4: Simplify right side
    255,150x = 312,912,696,996
  5. Step 5: Solve for x
    x = 312,912,696,996/255,150
  6. Step 6: Final answer
    x = 1,226,387.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.