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Finding the Third Proportional to 559,428 and 860,380

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Solution

The third proportional to 559,428 and 860,380 is: 1,323,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,428 : 860,380 = 860,380 : x
  2. Step 2: Convert to fraction form
    559,428/860,380 = 860,380/x
  3. Step 3: Cross multiply
    559,428x = 860,380 × 860,380
  4. Step 4: Simplify right side
    559,428x = 740,253,744,400
  5. Step 5: Solve for x
    x = 740,253,744,400/559,428
  6. Step 6: Final answer
    x = 1,323,233.27

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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.