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Finding the Third Proportional to 390,573 and 590,049

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Solution

The third proportional to 390,573 and 590,049 is: 891,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,573 : 590,049 = 590,049 : x
  2. Step 2: Convert to fraction form
    390,573/590,049 = 590,049/x
  3. Step 3: Cross multiply
    390,573x = 590,049 × 590,049
  4. Step 4: Simplify right side
    390,573x = 348,157,822,401
  5. Step 5: Solve for x
    x = 348,157,822,401/390,573
  6. Step 6: Final answer
    x = 891,402.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.