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Finding the Third Proportional to 390.13 and 848.29

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Solution

The third proportional to 390.13 and 848.29 is: 1,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.13 : 848.29 = 848.29 : x
  2. Step 2: Convert to fraction form
    390.13/848.29 = 848.29/x
  3. Step 3: Cross multiply
    390.13x = 848.29 × 848.29
  4. Step 4: Simplify right side
    390.13x = 719,587.71
  5. Step 5: Solve for x
    x = 719,587.71/390.13
  6. Step 6: Final answer
    x = 1,844.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.