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Finding the Third Proportional to 426,492 and 918,594

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Solution

The third proportional to 426,492 and 918,594 is: 1,978,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,492 : 918,594 = 918,594 : x
  2. Step 2: Convert to fraction form
    426,492/918,594 = 918,594/x
  3. Step 3: Cross multiply
    426,492x = 918,594 × 918,594
  4. Step 4: Simplify right side
    426,492x = 843,814,936,836
  5. Step 5: Solve for x
    x = 843,814,936,836/426,492
  6. Step 6: Final answer
    x = 1,978,501.21

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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.