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Finding the Third Proportional to 390,572 and 585,858

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Solution

The third proportional to 390,572 and 585,858 is: 878,787

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,572 : 585,858 = 585,858 : x
  2. Step 2: Convert to fraction form
    390,572/585,858 = 585,858/x
  3. Step 3: Cross multiply
    390,572x = 585,858 × 585,858
  4. Step 4: Simplify right side
    390,572x = 343,229,596,164
  5. Step 5: Solve for x
    x = 343,229,596,164/390,572
  6. Step 6: Final answer
    x = 878,787

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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.