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Finding the Third Proportional to 390,564 and 812,230

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Solution

The third proportional to 390,564 and 812,230 is: 1,689,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,564 : 812,230 = 812,230 : x
  2. Step 2: Convert to fraction form
    390,564/812,230 = 812,230/x
  3. Step 3: Cross multiply
    390,564x = 812,230 × 812,230
  4. Step 4: Simplify right side
    390,564x = 659,717,572,900
  5. Step 5: Solve for x
    x = 659,717,572,900/390,564
  6. Step 6: Final answer
    x = 1,689,140.76

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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.