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Finding the Third Proportional to 137,112.75 and 208,315.13

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Solution

The third proportional to 137,112.75 and 208,315.13 is: 316,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,112.75 : 208,315.13 = 208,315.13 : x
  2. Step 2: Convert to fraction form
    137,112.75/208,315.13 = 208,315.13/x
  3. Step 3: Cross multiply
    137,112.75x = 208,315.13 × 208,315.13
  4. Step 4: Simplify right side
    137,112.75x = 43,395,191,303.77
  5. Step 5: Solve for x
    x = 43,395,191,303.77/137,112.75
  6. Step 6: Final answer
    x = 316,492.75

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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.