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Finding the Third Proportional to 390,474 and 590,625

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Solution

The third proportional to 390,474 and 590,625 is: 893,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,474 : 590,625 = 590,625 : x
  2. Step 2: Convert to fraction form
    390,474/590,625 = 590,625/x
  3. Step 3: Cross multiply
    390,474x = 590,625 × 590,625
  4. Step 4: Simplify right side
    390,474x = 348,837,890,625
  5. Step 5: Solve for x
    x = 348,837,890,625/390,474
  6. Step 6: Final answer
    x = 893,370.34

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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.