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Finding the Third Proportional to 293,406 and 640,776

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Solution

The third proportional to 293,406 and 640,776 is: 1,399,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,406 : 640,776 = 640,776 : x
  2. Step 2: Convert to fraction form
    293,406/640,776 = 640,776/x
  3. Step 3: Cross multiply
    293,406x = 640,776 × 640,776
  4. Step 4: Simplify right side
    293,406x = 410,593,882,176
  5. Step 5: Solve for x
    x = 410,593,882,176/293,406
  6. Step 6: Final answer
    x = 1,399,405.20

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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.