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Finding the Third Proportional to 615.06 and 898.94

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Solution

The third proportional to 615.06 and 898.94 is: 1,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.06 : 898.94 = 898.94 : x
  2. Step 2: Convert to fraction form
    615.06/898.94 = 898.94/x
  3. Step 3: Cross multiply
    615.06x = 898.94 × 898.94
  4. Step 4: Simplify right side
    615.06x = 808,088.63
  5. Step 5: Solve for x
    x = 808,088.63/615.06
  6. Step 6: Final answer
    x = 1,313.83

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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.