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Finding the Third Proportional to 257,556 and 409,822

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Solution

The third proportional to 257,556 and 409,822 is: 652,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,556 : 409,822 = 409,822 : x
  2. Step 2: Convert to fraction form
    257,556/409,822 = 409,822/x
  3. Step 3: Cross multiply
    257,556x = 409,822 × 409,822
  4. Step 4: Simplify right side
    257,556x = 167,954,071,684
  5. Step 5: Solve for x
    x = 167,954,071,684/257,556
  6. Step 6: Final answer
    x = 652,107.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.