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Finding the Third Proportional to 157,080 and 242,684

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Solution

The third proportional to 157,080 and 242,684 is: 374,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,080 : 242,684 = 242,684 : x
  2. Step 2: Convert to fraction form
    157,080/242,684 = 242,684/x
  3. Step 3: Cross multiply
    157,080x = 242,684 × 242,684
  4. Step 4: Simplify right side
    157,080x = 58,895,523,856
  5. Step 5: Solve for x
    x = 58,895,523,856/157,080
  6. Step 6: Final answer
    x = 374,939.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.