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Finding the Third Proportional to 608,633 and 890,413

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Solution

The third proportional to 608,633 and 890,413 is: 1,302,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,633 : 890,413 = 890,413 : x
  2. Step 2: Convert to fraction form
    608,633/890,413 = 890,413/x
  3. Step 3: Cross multiply
    608,633x = 890,413 × 890,413
  4. Step 4: Simplify right side
    608,633x = 792,835,310,569
  5. Step 5: Solve for x
    x = 792,835,310,569/608,633
  6. Step 6: Final answer
    x = 1,302,649.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.