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Finding the Third Proportional to 340,257 and 745,638

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Solution

The third proportional to 340,257 and 745,638 is: 1,633,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,257 : 745,638 = 745,638 : x
  2. Step 2: Convert to fraction form
    340,257/745,638 = 745,638/x
  3. Step 3: Cross multiply
    340,257x = 745,638 × 745,638
  4. Step 4: Simplify right side
    340,257x = 555,976,027,044
  5. Step 5: Solve for x
    x = 555,976,027,044/340,257
  6. Step 6: Final answer
    x = 1,633,988.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.