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Finding the Third Proportional to 426,444 and 918,516

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Solution

The third proportional to 426,444 and 918,516 is: 1,978,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,444 : 918,516 = 918,516 : x
  2. Step 2: Convert to fraction form
    426,444/918,516 = 918,516/x
  3. Step 3: Cross multiply
    426,444x = 918,516 × 918,516
  4. Step 4: Simplify right side
    426,444x = 843,671,642,256
  5. Step 5: Solve for x
    x = 843,671,642,256/426,444
  6. Step 6: Final answer
    x = 1,978,387.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.