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Finding the Third Proportional to 255,952 and 551,146

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Solution

The third proportional to 255,952 and 551,146 is: 1,186,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,952 : 551,146 = 551,146 : x
  2. Step 2: Convert to fraction form
    255,952/551,146 = 551,146/x
  3. Step 3: Cross multiply
    255,952x = 551,146 × 551,146
  4. Step 4: Simplify right side
    255,952x = 303,761,913,316
  5. Step 5: Solve for x
    x = 303,761,913,316/255,952
  6. Step 6: Final answer
    x = 1,186,792.50

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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.