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Finding the Third Proportional to 144,597 and 313,323

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Solution

The third proportional to 144,597 and 313,323 is: 678,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,597 : 313,323 = 313,323 : x
  2. Step 2: Convert to fraction form
    144,597/313,323 = 313,323/x
  3. Step 3: Cross multiply
    144,597x = 313,323 × 313,323
  4. Step 4: Simplify right side
    144,597x = 98,171,302,329
  5. Step 5: Solve for x
    x = 98,171,302,329/144,597
  6. Step 6: Final answer
    x = 678,930.42

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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.