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Finding the Third Proportional to 358,778 and 783,652

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Solution

The third proportional to 358,778 and 783,652 is: 1,711,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,778 : 783,652 = 783,652 : x
  2. Step 2: Convert to fraction form
    358,778/783,652 = 783,652/x
  3. Step 3: Cross multiply
    358,778x = 783,652 × 783,652
  4. Step 4: Simplify right side
    358,778x = 614,110,457,104
  5. Step 5: Solve for x
    x = 614,110,457,104/358,778
  6. Step 6: Final answer
    x = 1,711,672.56

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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.