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Finding the Third Proportional to 310,076 and 669,724

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Solution

The third proportional to 310,076 and 669,724 is: 1,446,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,076 : 669,724 = 669,724 : x
  2. Step 2: Convert to fraction form
    310,076/669,724 = 669,724/x
  3. Step 3: Cross multiply
    310,076x = 669,724 × 669,724
  4. Step 4: Simplify right side
    310,076x = 448,530,236,176
  5. Step 5: Solve for x
    x = 448,530,236,176/310,076
  6. Step 6: Final answer
    x = 1,446,517.10

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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.