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Finding the Third Proportional to 255,479 and 527,358

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Solution

The third proportional to 255,479 and 527,358 is: 1,088,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,479 : 527,358 = 527,358 : x
  2. Step 2: Convert to fraction form
    255,479/527,358 = 527,358/x
  3. Step 3: Cross multiply
    255,479x = 527,358 × 527,358
  4. Step 4: Simplify right side
    255,479x = 278,106,460,164
  5. Step 5: Solve for x
    x = 278,106,460,164/255,479
  6. Step 6: Final answer
    x = 1,088,568.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.