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Finding the Third Proportional to 340,811.61 and 738,421.95

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Solution

The third proportional to 340,811.61 and 738,421.95 is: 1,599,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,811.61 : 738,421.95 = 738,421.95 : x
  2. Step 2: Convert to fraction form
    340,811.61/738,421.95 = 738,421.95/x
  3. Step 3: Cross multiply
    340,811.61x = 738,421.95 × 738,421.95
  4. Step 4: Simplify right side
    340,811.61x = 545,266,969,319.10
  5. Step 5: Solve for x
    x = 545,266,969,319.10/340,811.61
  6. Step 6: Final answer
    x = 1,599,907.25

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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.