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Finding the Third Proportional to 326,810 and 513,567

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Solution

The third proportional to 326,810 and 513,567 is: 807,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,810 : 513,567 = 513,567 : x
  2. Step 2: Convert to fraction form
    326,810/513,567 = 513,567/x
  3. Step 3: Cross multiply
    326,810x = 513,567 × 513,567
  4. Step 4: Simplify right side
    326,810x = 263,751,063,489
  5. Step 5: Solve for x
    x = 263,751,063,489/326,810
  6. Step 6: Final answer
    x = 807,047.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.