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Finding the Third Proportional to 459.47 and 999.94

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Solution

The third proportional to 459.47 and 999.94 is: 2,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.47 : 999.94 = 999.94 : x
  2. Step 2: Convert to fraction form
    459.47/999.94 = 999.94/x
  3. Step 3: Cross multiply
    459.47x = 999.94 × 999.94
  4. Step 4: Simplify right side
    459.47x = 999,875.00
  5. Step 5: Solve for x
    x = 999,875.00/459.47
  6. Step 6: Final answer
    x = 2,176.15

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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.