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Finding the Third Proportional to 210,043 and 460,910.50

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Solution

The third proportional to 210,043 and 460,910.50 is: 1,011,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,043 : 460,910.50 = 460,910.50 : x
  2. Step 2: Convert to fraction form
    210,043/460,910.50 = 460,910.50/x
  3. Step 3: Cross multiply
    210,043x = 460,910.50 × 460,910.50
  4. Step 4: Simplify right side
    210,043x = 212,438,489,010.25
  5. Step 5: Solve for x
    x = 212,438,489,010.25/210,043
  6. Step 6: Final answer
    x = 1,011,404.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.