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Finding the Third Proportional to 283,490 and 426,516

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Solution

The third proportional to 283,490 and 426,516 is: 641,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,490 : 426,516 = 426,516 : x
  2. Step 2: Convert to fraction form
    283,490/426,516 = 426,516/x
  3. Step 3: Cross multiply
    283,490x = 426,516 × 426,516
  4. Step 4: Simplify right side
    283,490x = 181,915,898,256
  5. Step 5: Solve for x
    x = 181,915,898,256/283,490
  6. Step 6: Final answer
    x = 641,701.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.