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Finding the Third Proportional to 390,422 and 530,337

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Solution

The third proportional to 390,422 and 530,337 is: 720,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,422 : 530,337 = 530,337 : x
  2. Step 2: Convert to fraction form
    390,422/530,337 = 530,337/x
  3. Step 3: Cross multiply
    390,422x = 530,337 × 530,337
  4. Step 4: Simplify right side
    390,422x = 281,257,333,569
  5. Step 5: Solve for x
    x = 281,257,333,569/390,422
  6. Step 6: Final answer
    x = 720,393.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.