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Finding the Third Proportional to 518,737.50 and 778,106.25

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Solution

The third proportional to 518,737.50 and 778,106.25 is: 1,167,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,737.50 : 778,106.25 = 778,106.25 : x
  2. Step 2: Convert to fraction form
    518,737.50/778,106.25 = 778,106.25/x
  3. Step 3: Cross multiply
    518,737.50x = 778,106.25 × 778,106.25
  4. Step 4: Simplify right side
    518,737.50x = 605,449,336,289.06
  5. Step 5: Solve for x
    x = 605,449,336,289.06/518,737.50
  6. Step 6: Final answer
    x = 1,167,159.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.