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Finding the Third Proportional to 162,817 and 347,140

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Solution

The third proportional to 162,817 and 347,140 is: 740,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,817 : 347,140 = 347,140 : x
  2. Step 2: Convert to fraction form
    162,817/347,140 = 347,140/x
  3. Step 3: Cross multiply
    162,817x = 347,140 × 347,140
  4. Step 4: Simplify right side
    162,817x = 120,506,179,600
  5. Step 5: Solve for x
    x = 120,506,179,600/162,817
  6. Step 6: Final answer
    x = 740,132.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.