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Finding the Third Proportional to 137,184.50 and 293,386

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Solution

The third proportional to 137,184.50 and 293,386 is: 627,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,184.50 : 293,386 = 293,386 : x
  2. Step 2: Convert to fraction form
    137,184.50/293,386 = 293,386/x
  3. Step 3: Cross multiply
    137,184.50x = 293,386 × 293,386
  4. Step 4: Simplify right side
    137,184.50x = 86,075,344,996
  5. Step 5: Solve for x
    x = 86,075,344,996/137,184.50
  6. Step 6: Final answer
    x = 627,442.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.