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Finding the Third Proportional to 144,646 and 313,348

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Solution

The third proportional to 144,646 and 313,348 is: 678,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,646 : 313,348 = 313,348 : x
  2. Step 2: Convert to fraction form
    144,646/313,348 = 313,348/x
  3. Step 3: Cross multiply
    144,646x = 313,348 × 313,348
  4. Step 4: Simplify right side
    144,646x = 98,186,969,104
  5. Step 5: Solve for x
    x = 98,186,969,104/144,646
  6. Step 6: Final answer
    x = 678,808.74

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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.