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Finding the Third Proportional to 137,038.50 and 305,218.13

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Solution

The third proportional to 137,038.50 and 305,218.13 is: 679,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.50 : 305,218.13 = 305,218.13 : x
  2. Step 2: Convert to fraction form
    137,038.50/305,218.13 = 305,218.13/x
  3. Step 3: Cross multiply
    137,038.50x = 305,218.13 × 305,218.13
  4. Step 4: Simplify right side
    137,038.50x = 93,158,103,828.52
  5. Step 5: Solve for x
    x = 93,158,103,828.52/137,038.50
  6. Step 6: Final answer
    x = 679,795.12

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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.