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Finding the Third Proportional to 390,642 and 585,855

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Solution

The third proportional to 390,642 and 585,855 is: 878,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,642 : 585,855 = 585,855 : x
  2. Step 2: Convert to fraction form
    390,642/585,855 = 585,855/x
  3. Step 3: Cross multiply
    390,642x = 585,855 × 585,855
  4. Step 4: Simplify right side
    390,642x = 343,226,081,025
  5. Step 5: Solve for x
    x = 343,226,081,025/390,642
  6. Step 6: Final answer
    x = 878,620.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.