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Finding the Third Proportional to 390,562 and 812,226

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Solution

The third proportional to 390,562 and 812,226 is: 1,689,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,562 : 812,226 = 812,226 : x
  2. Step 2: Convert to fraction form
    390,562/812,226 = 812,226/x
  3. Step 3: Cross multiply
    390,562x = 812,226 × 812,226
  4. Step 4: Simplify right side
    390,562x = 659,711,075,076
  5. Step 5: Solve for x
    x = 659,711,075,076/390,562
  6. Step 6: Final answer
    x = 1,689,132.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.