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Finding the Third Proportional to 856.09 and 1,160.10

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Solution

The third proportional to 856.09 and 1,160.10 is: 1,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.09 : 1,160.10 = 1,160.10 : x
  2. Step 2: Convert to fraction form
    856.09/1,160.10 = 1,160.10/x
  3. Step 3: Cross multiply
    856.09x = 1,160.10 × 1,160.10
  4. Step 4: Simplify right side
    856.09x = 1,345,840.17
  5. Step 5: Solve for x
    x = 1,345,840.17/856.09
  6. Step 6: Final answer
    x = 1,572.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.