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Finding the Third Proportional to 230,557 and 345,835.50

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Solution

The third proportional to 230,557 and 345,835.50 is: 518,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,557 : 345,835.50 = 345,835.50 : x
  2. Step 2: Convert to fraction form
    230,557/345,835.50 = 345,835.50/x
  3. Step 3: Cross multiply
    230,557x = 345,835.50 × 345,835.50
  4. Step 4: Simplify right side
    230,557x = 119,602,193,060.25
  5. Step 5: Solve for x
    x = 119,602,193,060.25/230,557
  6. Step 6: Final answer
    x = 518,753.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.