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Finding the Third Proportional to 312,776 and 669,840

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Solution

The third proportional to 312,776 and 669,840 is: 1,434,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776 : 669,840 = 669,840 : x
  2. Step 2: Convert to fraction form
    312,776/669,840 = 669,840/x
  3. Step 3: Cross multiply
    312,776x = 669,840 × 669,840
  4. Step 4: Simplify right side
    312,776x = 448,685,625,600
  5. Step 5: Solve for x
    x = 448,685,625,600/312,776
  6. Step 6: Final answer
    x = 1,434,527.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.