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Finding the Third Proportional to 251,960 and 390,696

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Solution

The third proportional to 251,960 and 390,696 is: 605,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,960 : 390,696 = 390,696 : x
  2. Step 2: Convert to fraction form
    251,960/390,696 = 390,696/x
  3. Step 3: Cross multiply
    251,960x = 390,696 × 390,696
  4. Step 4: Simplify right side
    251,960x = 152,643,364,416
  5. Step 5: Solve for x
    x = 152,643,364,416/251,960
  6. Step 6: Final answer
    x = 605,823.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.