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Finding the Third Proportional to 426,564 and 921,420

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Solution

The third proportional to 426,564 and 921,420 is: 1,990,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,564 : 921,420 = 921,420 : x
  2. Step 2: Convert to fraction form
    426,564/921,420 = 921,420/x
  3. Step 3: Cross multiply
    426,564x = 921,420 × 921,420
  4. Step 4: Simplify right side
    426,564x = 849,014,816,400
  5. Step 5: Solve for x
    x = 849,014,816,400/426,564
  6. Step 6: Final answer
    x = 1,990,357.41

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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.