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Finding the Third Proportional to 421,943 and 563,645

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Solution

The third proportional to 421,943 and 563,645 is: 752,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,943 : 563,645 = 563,645 : x
  2. Step 2: Convert to fraction form
    421,943/563,645 = 563,645/x
  3. Step 3: Cross multiply
    421,943x = 563,645 × 563,645
  4. Step 4: Simplify right side
    421,943x = 317,695,686,025
  5. Step 5: Solve for x
    x = 317,695,686,025/421,943
  6. Step 6: Final answer
    x = 752,935.08

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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.