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Finding the Third Proportional to 255,410 and 537,287

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Solution

The third proportional to 255,410 and 537,287 is: 1,130,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,410 : 537,287 = 537,287 : x
  2. Step 2: Convert to fraction form
    255,410/537,287 = 537,287/x
  3. Step 3: Cross multiply
    255,410x = 537,287 × 537,287
  4. Step 4: Simplify right side
    255,410x = 288,677,320,369
  5. Step 5: Solve for x
    x = 288,677,320,369/255,410
  6. Step 6: Final answer
    x = 1,130,250.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.