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Finding the Third Proportional to 140,294 and 210,603

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Solution

The third proportional to 140,294 and 210,603 is: 316,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,294 : 210,603 = 210,603 : x
  2. Step 2: Convert to fraction form
    140,294/210,603 = 210,603/x
  3. Step 3: Cross multiply
    140,294x = 210,603 × 210,603
  4. Step 4: Simplify right side
    140,294x = 44,353,623,609
  5. Step 5: Solve for x
    x = 44,353,623,609/140,294
  6. Step 6: Final answer
    x = 316,147.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.