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Finding the Third Proportional to 390,719 and 585,970

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Solution

The third proportional to 390,719 and 585,970 is: 878,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,719 : 585,970 = 585,970 : x
  2. Step 2: Convert to fraction form
    390,719/585,970 = 585,970/x
  3. Step 3: Cross multiply
    390,719x = 585,970 × 585,970
  4. Step 4: Simplify right side
    390,719x = 343,360,840,900
  5. Step 5: Solve for x
    x = 343,360,840,900/390,719
  6. Step 6: Final answer
    x = 878,792.28

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