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Finding the Third Proportional to 402,318 and 563,806

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Solution

The third proportional to 402,318 and 563,806 is: 790,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,318 : 563,806 = 563,806 : x
  2. Step 2: Convert to fraction form
    402,318/563,806 = 563,806/x
  3. Step 3: Cross multiply
    402,318x = 563,806 × 563,806
  4. Step 4: Simplify right side
    402,318x = 317,877,205,636
  5. Step 5: Solve for x
    x = 317,877,205,636/402,318
  6. Step 6: Final answer
    x = 790,114.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.