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Finding the Third Proportional to 261,248 and 390,859

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Solution

The third proportional to 261,248 and 390,859 is: 584,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,248 : 390,859 = 390,859 : x
  2. Step 2: Convert to fraction form
    261,248/390,859 = 390,859/x
  3. Step 3: Cross multiply
    261,248x = 390,859 × 390,859
  4. Step 4: Simplify right side
    261,248x = 152,770,757,881
  5. Step 5: Solve for x
    x = 152,770,757,881/261,248
  6. Step 6: Final answer
    x = 584,772.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.