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Finding the Third Proportional to 340,668 and 739,288.50

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Solution

The third proportional to 340,668 and 739,288.50 is: 1,604,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,668 : 739,288.50 = 739,288.50 : x
  2. Step 2: Convert to fraction form
    340,668/739,288.50 = 739,288.50/x
  3. Step 3: Cross multiply
    340,668x = 739,288.50 × 739,288.50
  4. Step 4: Simplify right side
    340,668x = 546,547,486,232.25
  5. Step 5: Solve for x
    x = 546,547,486,232.25/340,668
  6. Step 6: Final answer
    x = 1,604,340.55

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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.