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Finding the Third Proportional to 210,756 and 374,730

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Solution

The third proportional to 210,756 and 374,730 is: 666,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,756 : 374,730 = 374,730 : x
  2. Step 2: Convert to fraction form
    210,756/374,730 = 374,730/x
  3. Step 3: Cross multiply
    210,756x = 374,730 × 374,730
  4. Step 4: Simplify right side
    210,756x = 140,422,572,900
  5. Step 5: Solve for x
    x = 140,422,572,900/210,756
  6. Step 6: Final answer
    x = 666,280.31

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.