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Finding the Third Proportional to 310,318.50 and 669,624

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Solution

The third proportional to 310,318.50 and 669,624 is: 1,444,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,318.50 : 669,624 = 669,624 : x
  2. Step 2: Convert to fraction form
    310,318.50/669,624 = 669,624/x
  3. Step 3: Cross multiply
    310,318.50x = 669,624 × 669,624
  4. Step 4: Simplify right side
    310,318.50x = 448,396,301,376
  5. Step 5: Solve for x
    x = 448,396,301,376/310,318.50
  6. Step 6: Final answer
    x = 1,444,955.11

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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.