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Finding the Third Proportional to 221,390 and 350,012

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Solution

The third proportional to 221,390 and 350,012 is: 553,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,390 : 350,012 = 350,012 : x
  2. Step 2: Convert to fraction form
    221,390/350,012 = 350,012/x
  3. Step 3: Cross multiply
    221,390x = 350,012 × 350,012
  4. Step 4: Simplify right side
    221,390x = 122,508,400,144
  5. Step 5: Solve for x
    x = 122,508,400,144/221,390
  6. Step 6: Final answer
    x = 553,360.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.