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Finding the Third Proportional to 358,776 and 783,648

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Solution

The third proportional to 358,776 and 783,648 is: 1,711,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,776 : 783,648 = 783,648 : x
  2. Step 2: Convert to fraction form
    358,776/783,648 = 783,648/x
  3. Step 3: Cross multiply
    358,776x = 783,648 × 783,648
  4. Step 4: Simplify right side
    358,776x = 614,104,187,904
  5. Step 5: Solve for x
    x = 614,104,187,904/358,776
  6. Step 6: Final answer
    x = 1,711,664.63

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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.