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Finding the Third Proportional to 262,920 and 429,282

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Solution

The third proportional to 262,920 and 429,282 is: 700,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,920 : 429,282 = 429,282 : x
  2. Step 2: Convert to fraction form
    262,920/429,282 = 429,282/x
  3. Step 3: Cross multiply
    262,920x = 429,282 × 429,282
  4. Step 4: Simplify right side
    262,920x = 184,283,035,524
  5. Step 5: Solve for x
    x = 184,283,035,524/262,920
  6. Step 6: Final answer
    x = 700,909.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.