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Finding the Third Proportional to 427,930 and 916,583

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Solution

The third proportional to 427,930 and 916,583 is: 1,963,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,930 : 916,583 = 916,583 : x
  2. Step 2: Convert to fraction form
    427,930/916,583 = 916,583/x
  3. Step 3: Cross multiply
    427,930x = 916,583 × 916,583
  4. Step 4: Simplify right side
    427,930x = 840,124,395,889
  5. Step 5: Solve for x
    x = 840,124,395,889/427,930
  6. Step 6: Final answer
    x = 1,963,228.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.