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Finding the Third Proportional to 157,040 and 322,396

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Solution

The third proportional to 157,040 and 322,396 is: 661,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,040 : 322,396 = 322,396 : x
  2. Step 2: Convert to fraction form
    157,040/322,396 = 322,396/x
  3. Step 3: Cross multiply
    157,040x = 322,396 × 322,396
  4. Step 4: Simplify right side
    157,040x = 103,939,180,816
  5. Step 5: Solve for x
    x = 103,939,180,816/157,040
  6. Step 6: Final answer
    x = 661,864.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.