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Finding the Third Proportional to 282,393.75 and 430,209

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Solution

The third proportional to 282,393.75 and 430,209 is: 655,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,393.75 : 430,209 = 430,209 : x
  2. Step 2: Convert to fraction form
    282,393.75/430,209 = 430,209/x
  3. Step 3: Cross multiply
    282,393.75x = 430,209 × 430,209
  4. Step 4: Simplify right side
    282,393.75x = 185,079,783,681
  5. Step 5: Solve for x
    x = 185,079,783,681/282,393.75
  6. Step 6: Final answer
    x = 655,396.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.