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Finding the Third Proportional to 390,204 and 570,402

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Solution

The third proportional to 390,204 and 570,402 is: 833,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,204 : 570,402 = 570,402 : x
  2. Step 2: Convert to fraction form
    390,204/570,402 = 570,402/x
  3. Step 3: Cross multiply
    390,204x = 570,402 × 570,402
  4. Step 4: Simplify right side
    390,204x = 325,358,441,604
  5. Step 5: Solve for x
    x = 325,358,441,604/390,204
  6. Step 6: Final answer
    x = 833,816.26

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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.