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Finding the Third Proportional to 257,568 and 559,461

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Solution

The third proportional to 257,568 and 559,461 is: 1,215,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,568 : 559,461 = 559,461 : x
  2. Step 2: Convert to fraction form
    257,568/559,461 = 559,461/x
  3. Step 3: Cross multiply
    257,568x = 559,461 × 559,461
  4. Step 4: Simplify right side
    257,568x = 312,996,610,521
  5. Step 5: Solve for x
    x = 312,996,610,521/257,568
  6. Step 6: Final answer
    x = 1,215,199.91

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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.