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Finding the Third Proportional to 340,470.84 and 737,302.50

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Solution

The third proportional to 340,470.84 and 737,302.50 is: 1,596,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,470.84 : 737,302.50 = 737,302.50 : x
  2. Step 2: Convert to fraction form
    340,470.84/737,302.50 = 737,302.50/x
  3. Step 3: Cross multiply
    340,470.84x = 737,302.50 × 737,302.50
  4. Step 4: Simplify right side
    340,470.84x = 543,614,976,506.25
  5. Step 5: Solve for x
    x = 543,614,976,506.25/340,470.84
  6. Step 6: Final answer
    x = 1,596,656.47

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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.