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Finding the Third Proportional to 687,364.50 and 1,509,216

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Solution

The third proportional to 687,364.50 and 1,509,216 is: 3,313,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,364.50 : 1,509,216 = 1,509,216 : x
  2. Step 2: Convert to fraction form
    687,364.50/1,509,216 = 1,509,216/x
  3. Step 3: Cross multiply
    687,364.50x = 1,509,216 × 1,509,216
  4. Step 4: Simplify right side
    687,364.50x = 2,277,732,934,656
  5. Step 5: Solve for x
    x = 2,277,732,934,656/687,364.50
  6. Step 6: Final answer
    x = 3,313,719.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.