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Finding the Third Proportional to 390,102 and 529,857

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Solution

The third proportional to 390,102 and 529,857 is: 719,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,102 : 529,857 = 529,857 : x
  2. Step 2: Convert to fraction form
    390,102/529,857 = 529,857/x
  3. Step 3: Cross multiply
    390,102x = 529,857 × 529,857
  4. Step 4: Simplify right side
    390,102x = 280,748,440,449
  5. Step 5: Solve for x
    x = 280,748,440,449/390,102
  6. Step 6: Final answer
    x = 719,679.57

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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.