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Finding the Third Proportional to 210,810 and 330,334

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Solution

The third proportional to 210,810 and 330,334 is: 517,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,810 : 330,334 = 330,334 : x
  2. Step 2: Convert to fraction form
    210,810/330,334 = 330,334/x
  3. Step 3: Cross multiply
    210,810x = 330,334 × 330,334
  4. Step 4: Simplify right side
    210,810x = 109,120,551,556
  5. Step 5: Solve for x
    x = 109,120,551,556/210,810
  6. Step 6: Final answer
    x = 517,625.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.