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Finding the Third Proportional to 310,896 and 669,359

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Solution

The third proportional to 310,896 and 669,359 is: 1,441,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,896 : 669,359 = 669,359 : x
  2. Step 2: Convert to fraction form
    310,896/669,359 = 669,359/x
  3. Step 3: Cross multiply
    310,896x = 669,359 × 669,359
  4. Step 4: Simplify right side
    310,896x = 448,041,470,881
  5. Step 5: Solve for x
    x = 448,041,470,881/310,896
  6. Step 6: Final answer
    x = 1,441,129.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.