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Finding the Third Proportional to 137,090 and 297,348

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Solution

The third proportional to 137,090 and 297,348 is: 644,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,090 : 297,348 = 297,348 : x
  2. Step 2: Convert to fraction form
    137,090/297,348 = 297,348/x
  3. Step 3: Cross multiply
    137,090x = 297,348 × 297,348
  4. Step 4: Simplify right side
    137,090x = 88,415,833,104
  5. Step 5: Solve for x
    x = 88,415,833,104/137,090
  6. Step 6: Final answer
    x = 644,947.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.