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Finding the Third Proportional to 499.29 and 1,038.45

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Solution

The third proportional to 499.29 and 1,038.45 is: 2,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.29 : 1,038.45 = 1,038.45 : x
  2. Step 2: Convert to fraction form
    499.29/1,038.45 = 1,038.45/x
  3. Step 3: Cross multiply
    499.29x = 1,038.45 × 1,038.45
  4. Step 4: Simplify right side
    499.29x = 1,078,368.67
  5. Step 5: Solve for x
    x = 1,078,368.67/499.29
  6. Step 6: Final answer
    x = 2,159.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.