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Finding the Third Proportional to 217,083 and 462,840

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Solution

The third proportional to 217,083 and 462,840 is: 986,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,083 : 462,840 = 462,840 : x
  2. Step 2: Convert to fraction form
    217,083/462,840 = 462,840/x
  3. Step 3: Cross multiply
    217,083x = 462,840 × 462,840
  4. Step 4: Simplify right side
    217,083x = 214,220,865,600
  5. Step 5: Solve for x
    x = 214,220,865,600/217,083
  6. Step 6: Final answer
    x = 986,815.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.