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Finding the Third Proportional to 358,900 and 777,248

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Solution

The third proportional to 358,900 and 777,248 is: 1,683,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,900 : 777,248 = 777,248 : x
  2. Step 2: Convert to fraction form
    358,900/777,248 = 777,248/x
  3. Step 3: Cross multiply
    358,900x = 777,248 × 777,248
  4. Step 4: Simplify right side
    358,900x = 604,114,453,504
  5. Step 5: Solve for x
    x = 604,114,453,504/358,900
  6. Step 6: Final answer
    x = 1,683,238.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.