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Finding the Third Proportional to 421,939 and 563,639

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Solution

The third proportional to 421,939 and 563,639 is: 752,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,939 : 563,639 = 563,639 : x
  2. Step 2: Convert to fraction form
    421,939/563,639 = 563,639/x
  3. Step 3: Cross multiply
    421,939x = 563,639 × 563,639
  4. Step 4: Simplify right side
    421,939x = 317,688,922,321
  5. Step 5: Solve for x
    x = 317,688,922,321/421,939
  6. Step 6: Final answer
    x = 752,926.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.