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Finding the Third Proportional to 141,143 and 219,490.50

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Solution

The third proportional to 141,143 and 219,490.50 is: 341,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,143 : 219,490.50 = 219,490.50 : x
  2. Step 2: Convert to fraction form
    141,143/219,490.50 = 219,490.50/x
  3. Step 3: Cross multiply
    141,143x = 219,490.50 × 219,490.50
  4. Step 4: Simplify right side
    141,143x = 48,176,079,590.25
  5. Step 5: Solve for x
    x = 48,176,079,590.25/141,143
  6. Step 6: Final answer
    x = 341,328.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.