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Finding the Third Proportional to 526,902 and 817,385

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Solution

The third proportional to 526,902 and 817,385 is: 1,268,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,902 : 817,385 = 817,385 : x
  2. Step 2: Convert to fraction form
    526,902/817,385 = 817,385/x
  3. Step 3: Cross multiply
    526,902x = 817,385 × 817,385
  4. Step 4: Simplify right side
    526,902x = 668,118,238,225
  5. Step 5: Solve for x
    x = 668,118,238,225/526,902
  6. Step 6: Final answer
    x = 1,268,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.