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Finding the Third Proportional to 158,778 and 342,484

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Solution

The third proportional to 158,778 and 342,484 is: 738,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,778 : 342,484 = 342,484 : x
  2. Step 2: Convert to fraction form
    158,778/342,484 = 342,484/x
  3. Step 3: Cross multiply
    158,778x = 342,484 × 342,484
  4. Step 4: Simplify right side
    158,778x = 117,295,290,256
  5. Step 5: Solve for x
    x = 117,295,290,256/158,778
  6. Step 6: Final answer
    x = 738,737.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.