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Finding the Third Proportional to 163,778 and 357,508

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Solution

The third proportional to 163,778 and 357,508 is: 780,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,778 : 357,508 = 357,508 : x
  2. Step 2: Convert to fraction form
    163,778/357,508 = 357,508/x
  3. Step 3: Cross multiply
    163,778x = 357,508 × 357,508
  4. Step 4: Simplify right side
    163,778x = 127,811,970,064
  5. Step 5: Solve for x
    x = 127,811,970,064/163,778
  6. Step 6: Final answer
    x = 780,397.67

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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.