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Finding the Third Proportional to 418,103 and 917,409

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Solution

The third proportional to 418,103 and 917,409 is: 2,012,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,103 : 917,409 = 917,409 : x
  2. Step 2: Convert to fraction form
    418,103/917,409 = 917,409/x
  3. Step 3: Cross multiply
    418,103x = 917,409 × 917,409
  4. Step 4: Simplify right side
    418,103x = 841,639,273,281
  5. Step 5: Solve for x
    x = 841,639,273,281/418,103
  6. Step 6: Final answer
    x = 2,012,995.06

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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.