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Finding the Third Proportional to 139,983.19 and 211,123.13

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Solution

The third proportional to 139,983.19 and 211,123.13 is: 318,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,983.19 : 211,123.13 = 211,123.13 : x
  2. Step 2: Convert to fraction form
    139,983.19/211,123.13 = 211,123.13/x
  3. Step 3: Cross multiply
    139,983.19x = 211,123.13 × 211,123.13
  4. Step 4: Simplify right side
    139,983.19x = 44,572,973,909.77
  5. Step 5: Solve for x
    x = 44,572,973,909.77/139,983.19
  6. Step 6: Final answer
    x = 318,416.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.