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Finding the Third Proportional to 417,286 and 899,362

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Solution

The third proportional to 417,286 and 899,362 is: 1,938,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,286 : 899,362 = 899,362 : x
  2. Step 2: Convert to fraction form
    417,286/899,362 = 899,362/x
  3. Step 3: Cross multiply
    417,286x = 899,362 × 899,362
  4. Step 4: Simplify right side
    417,286x = 808,852,007,044
  5. Step 5: Solve for x
    x = 808,852,007,044/417,286
  6. Step 6: Final answer
    x = 1,938,363.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.