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Finding the Third Proportional to 243,414 and 355,702.50

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Solution

The third proportional to 243,414 and 355,702.50 is: 519,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,414 : 355,702.50 = 355,702.50 : x
  2. Step 2: Convert to fraction form
    243,414/355,702.50 = 355,702.50/x
  3. Step 3: Cross multiply
    243,414x = 355,702.50 × 355,702.50
  4. Step 4: Simplify right side
    243,414x = 126,524,268,506.25
  5. Step 5: Solve for x
    x = 126,524,268,506.25/243,414
  6. Step 6: Final answer
    x = 519,790.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.