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Finding the Third Proportional to 145,806 and 210,717

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Solution

The third proportional to 145,806 and 210,717 is: 304,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806 : 210,717 = 210,717 : x
  2. Step 2: Convert to fraction form
    145,806/210,717 = 210,717/x
  3. Step 3: Cross multiply
    145,806x = 210,717 × 210,717
  4. Step 4: Simplify right side
    145,806x = 44,401,654,089
  5. Step 5: Solve for x
    x = 44,401,654,089/145,806
  6. Step 6: Final answer
    x = 304,525.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.