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Finding the Third Proportional to 358,508 and 783,463

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Solution

The third proportional to 358,508 and 783,463 is: 1,712,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,508 : 783,463 = 783,463 : x
  2. Step 2: Convert to fraction form
    358,508/783,463 = 783,463/x
  3. Step 3: Cross multiply
    358,508x = 783,463 × 783,463
  4. Step 4: Simplify right side
    358,508x = 613,814,272,369
  5. Step 5: Solve for x
    x = 613,814,272,369/358,508
  6. Step 6: Final answer
    x = 1,712,135.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.