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Finding the Third Proportional to 358,466 and 782,148

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Solution

The third proportional to 358,466 and 782,148 is: 1,706,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,466 : 782,148 = 782,148 : x
  2. Step 2: Convert to fraction form
    358,466/782,148 = 782,148/x
  3. Step 3: Cross multiply
    358,466x = 782,148 × 782,148
  4. Step 4: Simplify right side
    358,466x = 611,755,493,904
  5. Step 5: Solve for x
    x = 611,755,493,904/358,466
  6. Step 6: Final answer
    x = 1,706,592.80

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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.