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Finding the Third Proportional to 489,384 and 740,826

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Solution

The third proportional to 489,384 and 740,826 is: 1,121,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,384 : 740,826 = 740,826 : x
  2. Step 2: Convert to fraction form
    489,384/740,826 = 740,826/x
  3. Step 3: Cross multiply
    489,384x = 740,826 × 740,826
  4. Step 4: Simplify right side
    489,384x = 548,823,162,276
  5. Step 5: Solve for x
    x = 548,823,162,276/489,384
  6. Step 6: Final answer
    x = 1,121,457.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.