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Finding the Third Proportional to 606,258 and 905,643

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Solution

The third proportional to 606,258 and 905,643 is: 1,352,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,258 : 905,643 = 905,643 : x
  2. Step 2: Convert to fraction form
    606,258/905,643 = 905,643/x
  3. Step 3: Cross multiply
    606,258x = 905,643 × 905,643
  4. Step 4: Simplify right side
    606,258x = 820,189,243,449
  5. Step 5: Solve for x
    x = 820,189,243,449/606,258
  6. Step 6: Final answer
    x = 1,352,871.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.