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Finding the Third Proportional to 162,810 and 347,125.50

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Solution

The third proportional to 162,810 and 347,125.50 is: 740,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,810 : 347,125.50 = 347,125.50 : x
  2. Step 2: Convert to fraction form
    162,810/347,125.50 = 347,125.50/x
  3. Step 3: Cross multiply
    162,810x = 347,125.50 × 347,125.50
  4. Step 4: Simplify right side
    162,810x = 120,496,112,750.25
  5. Step 5: Solve for x
    x = 120,496,112,750.25/162,810
  6. Step 6: Final answer
    x = 740,102.65

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