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Finding the Third Proportional to 310,098 and 669,764

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Solution

The third proportional to 310,098 and 669,764 is: 1,446,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,098 : 669,764 = 669,764 : x
  2. Step 2: Convert to fraction form
    310,098/669,764 = 669,764/x
  3. Step 3: Cross multiply
    310,098x = 669,764 × 669,764
  4. Step 4: Simplify right side
    310,098x = 448,583,815,696
  5. Step 5: Solve for x
    x = 448,583,815,696/310,098
  6. Step 6: Final answer
    x = 1,446,587.26

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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.