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Finding the Third Proportional to 390,208 and 570,408

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Solution

The third proportional to 390,208 and 570,408 is: 833,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,208 : 570,408 = 570,408 : x
  2. Step 2: Convert to fraction form
    390,208/570,408 = 570,408/x
  3. Step 3: Cross multiply
    390,208x = 570,408 × 570,408
  4. Step 4: Simplify right side
    390,208x = 325,365,286,464
  5. Step 5: Solve for x
    x = 325,365,286,464/390,208
  6. Step 6: Final answer
    x = 833,825.26

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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.