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Finding the Third Proportional to 427,399 and 912,000

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Solution

The third proportional to 427,399 and 912,000 is: 1,946,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,399 : 912,000 = 912,000 : x
  2. Step 2: Convert to fraction form
    427,399/912,000 = 912,000/x
  3. Step 3: Cross multiply
    427,399x = 912,000 × 912,000
  4. Step 4: Simplify right side
    427,399x = 831,744,000,000
  5. Step 5: Solve for x
    x = 831,744,000,000/427,399
  6. Step 6: Final answer
    x = 1,946,059.77

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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.