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Finding the Third Proportional to 642,258 and 903,642

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Solution

The third proportional to 642,258 and 903,642 is: 1,271,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,258 : 903,642 = 903,642 : x
  2. Step 2: Convert to fraction form
    642,258/903,642 = 903,642/x
  3. Step 3: Cross multiply
    642,258x = 903,642 × 903,642
  4. Step 4: Simplify right side
    642,258x = 816,568,864,164
  5. Step 5: Solve for x
    x = 816,568,864,164/642,258
  6. Step 6: Final answer
    x = 1,271,403.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.