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Finding the Third Proportional to 518,677.80 and 1,211,478.40

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Solution

The third proportional to 518,677.80 and 1,211,478.40 is: 2,829,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,677.80 : 1,211,478.40 = 1,211,478.40 : x
  2. Step 2: Convert to fraction form
    518,677.80/1,211,478.40 = 1,211,478.40/x
  3. Step 3: Cross multiply
    518,677.80x = 1,211,478.40 × 1,211,478.40
  4. Step 4: Simplify right side
    518,677.80x = 1,467,679,909,880.69
  5. Step 5: Solve for x
    x = 1,467,679,909,880.69/518,677.80
  6. Step 6: Final answer
    x = 2,829,656.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.