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Finding the Third Proportional to 390,872 and 586,048

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Solution

The third proportional to 390,872 and 586,048 is: 878,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,872 : 586,048 = 586,048 : x
  2. Step 2: Convert to fraction form
    390,872/586,048 = 586,048/x
  3. Step 3: Cross multiply
    390,872x = 586,048 × 586,048
  4. Step 4: Simplify right side
    390,872x = 343,452,258,304
  5. Step 5: Solve for x
    x = 343,452,258,304/390,872
  6. Step 6: Final answer
    x = 878,682.17

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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.