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Finding the Third Proportional to 390,560 and 812,222

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Solution

The third proportional to 390,560 and 812,222 is: 1,689,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,560 : 812,222 = 812,222 : x
  2. Step 2: Convert to fraction form
    390,560/812,222 = 812,222/x
  3. Step 3: Cross multiply
    390,560x = 812,222 × 812,222
  4. Step 4: Simplify right side
    390,560x = 659,704,577,284
  5. Step 5: Solve for x
    x = 659,704,577,284/390,560
  6. Step 6: Final answer
    x = 1,689,124.79

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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.