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Finding the Third Proportional to 310,507 and 668,583

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Solution

The third proportional to 310,507 and 668,583 is: 1,439,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,507 : 668,583 = 668,583 : x
  2. Step 2: Convert to fraction form
    310,507/668,583 = 668,583/x
  3. Step 3: Cross multiply
    310,507x = 668,583 × 668,583
  4. Step 4: Simplify right side
    310,507x = 447,003,227,889
  5. Step 5: Solve for x
    x = 447,003,227,889/310,507
  6. Step 6: Final answer
    x = 1,439,591.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.