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Finding the Third Proportional to 390,212 and 570,414

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Solution

The third proportional to 390,212 and 570,414 is: 833,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,212 : 570,414 = 570,414 : x
  2. Step 2: Convert to fraction form
    390,212/570,414 = 570,414/x
  3. Step 3: Cross multiply
    390,212x = 570,414 × 570,414
  4. Step 4: Simplify right side
    390,212x = 325,372,131,396
  5. Step 5: Solve for x
    x = 325,372,131,396/390,212
  6. Step 6: Final answer
    x = 833,834.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.