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Finding the Third Proportional to 155,330.16 and 345,652.31

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Solution

The third proportional to 155,330.16 and 345,652.31 is: 769,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,330.16 : 345,652.31 = 345,652.31 : x
  2. Step 2: Convert to fraction form
    155,330.16/345,652.31 = 345,652.31/x
  3. Step 3: Cross multiply
    155,330.16x = 345,652.31 × 345,652.31
  4. Step 4: Simplify right side
    155,330.16x = 119,475,521,136.60
  5. Step 5: Solve for x
    x = 119,475,521,136.60/155,330.16
  6. Step 6: Final answer
    x = 769,171.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.