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Finding the Third Proportional to 210,311 and 458,686.50

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Solution

The third proportional to 210,311 and 458,686.50 is: 1,000,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,311 : 458,686.50 = 458,686.50 : x
  2. Step 2: Convert to fraction form
    210,311/458,686.50 = 458,686.50/x
  3. Step 3: Cross multiply
    210,311x = 458,686.50 × 458,686.50
  4. Step 4: Simplify right side
    210,311x = 210,393,305,282.25
  5. Step 5: Solve for x
    x = 210,393,305,282.25/210,311
  6. Step 6: Final answer
    x = 1,000,391.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.