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Finding the Third Proportional to 418,105 and 917,413

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Solution

The third proportional to 418,105 and 917,413 is: 2,013,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,105 : 917,413 = 917,413 : x
  2. Step 2: Convert to fraction form
    418,105/917,413 = 917,413/x
  3. Step 3: Cross multiply
    418,105x = 917,413 × 917,413
  4. Step 4: Simplify right side
    418,105x = 841,646,612,569
  5. Step 5: Solve for x
    x = 841,646,612,569/418,105
  6. Step 6: Final answer
    x = 2,013,002.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.