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Finding the Third Proportional to 299,588 and 640,072

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Solution

The third proportional to 299,588 and 640,072 is: 1,367,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,588 : 640,072 = 640,072 : x
  2. Step 2: Convert to fraction form
    299,588/640,072 = 640,072/x
  3. Step 3: Cross multiply
    299,588x = 640,072 × 640,072
  4. Step 4: Simplify right side
    299,588x = 409,692,165,184
  5. Step 5: Solve for x
    x = 409,692,165,184/299,588
  6. Step 6: Final answer
    x = 1,367,518.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.