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Finding the Third Proportional to 3,240,345.75 and 7,090,963.50

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Solution

The third proportional to 3,240,345.75 and 7,090,963.50 is: 15,517,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240,345.75 : 7,090,963.50 = 7,090,963.50 : x
  2. Step 2: Convert to fraction form
    3,240,345.75/7,090,963.50 = 7,090,963.50/x
  3. Step 3: Cross multiply
    3,240,345.75x = 7,090,963.50 × 7,090,963.50
  4. Step 4: Simplify right side
    3,240,345.75x = 50,281,763,358,332.25
  5. Step 5: Solve for x
    x = 50,281,763,358,332.25/3,240,345.75
  6. Step 6: Final answer
    x = 15,517,406.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.