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Finding the Third Proportional to 139,688.88 and 310,994.13

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Solution

The third proportional to 139,688.88 and 310,994.13 is: 692,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,688.88 : 310,994.13 = 310,994.13 : x
  2. Step 2: Convert to fraction form
    139,688.88/310,994.13 = 310,994.13/x
  3. Step 3: Cross multiply
    139,688.88x = 310,994.13 × 310,994.13
  4. Step 4: Simplify right side
    139,688.88x = 96,717,345,784.52
  5. Step 5: Solve for x
    x = 96,717,345,784.52/139,688.88
  6. Step 6: Final answer
    x = 692,376.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.