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Finding the Third Proportional to 3,547,578 and 5,480,947.50

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Solution

The third proportional to 3,547,578 and 5,480,947.50 is: 8,467,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,578 : 5,480,947.50 = 5,480,947.50 : x
  2. Step 2: Convert to fraction form
    3,547,578/5,480,947.50 = 5,480,947.50/x
  3. Step 3: Cross multiply
    3,547,578x = 5,480,947.50 × 5,480,947.50
  4. Step 4: Simplify right side
    3,547,578x = 30,040,785,497,756.25
  5. Step 5: Solve for x
    x = 30,040,785,497,756.25/3,547,578
  6. Step 6: Final answer
    x = 8,467,970.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.