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Finding the Third Proportional to 137,764.13 and 212,784.56

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Solution

The third proportional to 137,764.13 and 212,784.56 is: 328,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,764.13 : 212,784.56 = 212,784.56 : x
  2. Step 2: Convert to fraction form
    137,764.13/212,784.56 = 212,784.56/x
  3. Step 3: Cross multiply
    137,764.13x = 212,784.56 × 212,784.56
  4. Step 4: Simplify right side
    137,764.13x = 45,277,270,038.32
  5. Step 5: Solve for x
    x = 45,277,270,038.32/137,764.13
  6. Step 6: Final answer
    x = 328,657.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.