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Finding the Third Proportional to 602.86 and 1,316.67

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Solution

The third proportional to 602.86 and 1,316.67 is: 2,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.86 : 1,316.67 = 1,316.67 : x
  2. Step 2: Convert to fraction form
    602.86/1,316.67 = 1,316.67/x
  3. Step 3: Cross multiply
    602.86x = 1,316.67 × 1,316.67
  4. Step 4: Simplify right side
    602.86x = 1,733,624.83
  5. Step 5: Solve for x
    x = 1,733,624.83/602.86
  6. Step 6: Final answer
    x = 2,875.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.