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Finding the Third Proportional to 559,433 and 860,385

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Solution

The third proportional to 559,433 and 860,385 is: 1,323,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,433 : 860,385 = 860,385 : x
  2. Step 2: Convert to fraction form
    559,433/860,385 = 860,385/x
  3. Step 3: Cross multiply
    559,433x = 860,385 × 860,385
  4. Step 4: Simplify right side
    559,433x = 740,262,348,225
  5. Step 5: Solve for x
    x = 740,262,348,225/559,433
  6. Step 6: Final answer
    x = 1,323,236.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.