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Finding the Third Proportional to 340,200 and 708,385.50

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Solution

The third proportional to 340,200 and 708,385.50 is: 1,475,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,200 : 708,385.50 = 708,385.50 : x
  2. Step 2: Convert to fraction form
    340,200/708,385.50 = 708,385.50/x
  3. Step 3: Cross multiply
    340,200x = 708,385.50 × 708,385.50
  4. Step 4: Simplify right side
    340,200x = 501,810,016,610.25
  5. Step 5: Solve for x
    x = 501,810,016,610.25/340,200
  6. Step 6: Final answer
    x = 1,475,044.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.