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Finding the Third Proportional to 315,969 and 513,340.50

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Solution

The third proportional to 315,969 and 513,340.50 is: 834,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,969 : 513,340.50 = 513,340.50 : x
  2. Step 2: Convert to fraction form
    315,969/513,340.50 = 513,340.50/x
  3. Step 3: Cross multiply
    315,969x = 513,340.50 × 513,340.50
  4. Step 4: Simplify right side
    315,969x = 263,518,468,940.25
  5. Step 5: Solve for x
    x = 263,518,468,940.25/315,969
  6. Step 6: Final answer
    x = 834,001.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.