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Finding the Third Proportional to 344,889 and 515,209.50

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Solution

The third proportional to 344,889 and 515,209.50 is: 769,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,889 : 515,209.50 = 515,209.50 : x
  2. Step 2: Convert to fraction form
    344,889/515,209.50 = 515,209.50/x
  3. Step 3: Cross multiply
    344,889x = 515,209.50 × 515,209.50
  4. Step 4: Simplify right side
    344,889x = 265,440,828,890.25
  5. Step 5: Solve for x
    x = 265,440,828,890.25/344,889
  6. Step 6: Final answer
    x = 769,641.33

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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.