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Finding the Third Proportional to 310,176 and 669,870

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Solution

The third proportional to 310,176 and 669,870 is: 1,446,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,176 : 669,870 = 669,870 : x
  2. Step 2: Convert to fraction form
    310,176/669,870 = 669,870/x
  3. Step 3: Cross multiply
    310,176x = 669,870 × 669,870
  4. Step 4: Simplify right side
    310,176x = 448,725,816,900
  5. Step 5: Solve for x
    x = 448,725,816,900/310,176
  6. Step 6: Final answer
    x = 1,446,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.