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Finding the Third Proportional to 519,335 and 821,642

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Solution

The third proportional to 519,335 and 821,642 is: 1,299,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,335 : 821,642 = 821,642 : x
  2. Step 2: Convert to fraction form
    519,335/821,642 = 821,642/x
  3. Step 3: Cross multiply
    519,335x = 821,642 × 821,642
  4. Step 4: Simplify right side
    519,335x = 675,095,576,164
  5. Step 5: Solve for x
    x = 675,095,576,164/519,335
  6. Step 6: Final answer
    x = 1,299,923.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.