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Finding the Third Proportional to 257,496 and 559,323

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Solution

The third proportional to 257,496 and 559,323 is: 1,214,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,496 : 559,323 = 559,323 : x
  2. Step 2: Convert to fraction form
    257,496/559,323 = 559,323/x
  3. Step 3: Cross multiply
    257,496x = 559,323 × 559,323
  4. Step 4: Simplify right side
    257,496x = 312,842,218,329
  5. Step 5: Solve for x
    x = 312,842,218,329/257,496
  6. Step 6: Final answer
    x = 1,214,940.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.