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Finding the Third Proportional to 612,633.38 and 915,259.50

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Solution

The third proportional to 612,633.38 and 915,259.50 is: 1,367,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,633.38 : 915,259.50 = 915,259.50 : x
  2. Step 2: Convert to fraction form
    612,633.38/915,259.50 = 915,259.50/x
  3. Step 3: Cross multiply
    612,633.38x = 915,259.50 × 915,259.50
  4. Step 4: Simplify right side
    612,633.38x = 837,699,952,340.25
  5. Step 5: Solve for x
    x = 837,699,952,340.25/612,633.38
  6. Step 6: Final answer
    x = 1,367,375.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.