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Finding the Third Proportional to 390,527 and 812,154

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Solution

The third proportional to 390,527 and 812,154 is: 1,688,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,527 : 812,154 = 812,154 : x
  2. Step 2: Convert to fraction form
    390,527/812,154 = 812,154/x
  3. Step 3: Cross multiply
    390,527x = 812,154 × 812,154
  4. Step 4: Simplify right side
    390,527x = 659,594,119,716
  5. Step 5: Solve for x
    x = 659,594,119,716/390,527
  6. Step 6: Final answer
    x = 1,688,984.68

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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.