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Finding the Third Proportional to 898.10 and 1,312.98

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Solution

The third proportional to 898.10 and 1,312.98 is: 1,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.10 : 1,312.98 = 1,312.98 : x
  2. Step 2: Convert to fraction form
    898.10/1,312.98 = 1,312.98/x
  3. Step 3: Cross multiply
    898.10x = 1,312.98 × 1,312.98
  4. Step 4: Simplify right side
    898.10x = 1,723,917.71
  5. Step 5: Solve for x
    x = 1,723,917.71/898.10
  6. Step 6: Final answer
    x = 1,919.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.