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Finding the Third Proportional to 310,072 and 669,716

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Solution

The third proportional to 310,072 and 669,716 is: 1,446,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,072 : 669,716 = 669,716 : x
  2. Step 2: Convert to fraction form
    310,072/669,716 = 669,716/x
  3. Step 3: Cross multiply
    310,072x = 669,716 × 669,716
  4. Step 4: Simplify right side
    310,072x = 448,519,520,656
  5. Step 5: Solve for x
    x = 448,519,520,656/310,072
  6. Step 6: Final answer
    x = 1,446,501.20

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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.