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Finding the Third Proportional to 259,896 and 569,428

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Solution

The third proportional to 259,896 and 569,428 is: 1,247,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,896 : 569,428 = 569,428 : x
  2. Step 2: Convert to fraction form
    259,896/569,428 = 569,428/x
  3. Step 3: Cross multiply
    259,896x = 569,428 × 569,428
  4. Step 4: Simplify right side
    259,896x = 324,248,247,184
  5. Step 5: Solve for x
    x = 324,248,247,184/259,896
  6. Step 6: Final answer
    x = 1,247,607.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.