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Finding the Third Proportional to 258,270 and 559,428

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Solution

The third proportional to 258,270 and 559,428 is: 1,211,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,270 : 559,428 = 559,428 : x
  2. Step 2: Convert to fraction form
    258,270/559,428 = 559,428/x
  3. Step 3: Cross multiply
    258,270x = 559,428 × 559,428
  4. Step 4: Simplify right side
    258,270x = 312,959,687,184
  5. Step 5: Solve for x
    x = 312,959,687,184/258,270
  6. Step 6: Final answer
    x = 1,211,753.93

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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.