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Finding the Third Proportional to 426,064 and 918,556

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Solution

The third proportional to 426,064 and 918,556 is: 1,980,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,064 : 918,556 = 918,556 : x
  2. Step 2: Convert to fraction form
    426,064/918,556 = 918,556/x
  3. Step 3: Cross multiply
    426,064x = 918,556 × 918,556
  4. Step 4: Simplify right side
    426,064x = 843,745,125,136
  5. Step 5: Solve for x
    x = 843,745,125,136/426,064
  6. Step 6: Final answer
    x = 1,980,324.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.