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Finding the Third Proportional to 418,483 and 911,700

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Solution

The third proportional to 418,483 and 911,700 is: 1,986,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,483 : 911,700 = 911,700 : x
  2. Step 2: Convert to fraction form
    418,483/911,700 = 911,700/x
  3. Step 3: Cross multiply
    418,483x = 911,700 × 911,700
  4. Step 4: Simplify right side
    418,483x = 831,196,890,000
  5. Step 5: Solve for x
    x = 831,196,890,000/418,483
  6. Step 6: Final answer
    x = 1,986,214.23

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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.