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Finding the Third Proportional to 416,064 and 811,392

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Solution

The third proportional to 416,064 and 811,392 is: 1,582,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,064 : 811,392 = 811,392 : x
  2. Step 2: Convert to fraction form
    416,064/811,392 = 811,392/x
  3. Step 3: Cross multiply
    416,064x = 811,392 × 811,392
  4. Step 4: Simplify right side
    416,064x = 658,356,977,664
  5. Step 5: Solve for x
    x = 658,356,977,664/416,064
  6. Step 6: Final answer
    x = 1,582,345.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.