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Finding the Third Proportional to 304,911 and 668,709

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Solution

The third proportional to 304,911 and 668,709 is: 1,466,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,911 : 668,709 = 668,709 : x
  2. Step 2: Convert to fraction form
    304,911/668,709 = 668,709/x
  3. Step 3: Cross multiply
    304,911x = 668,709 × 668,709
  4. Step 4: Simplify right side
    304,911x = 447,171,726,681
  5. Step 5: Solve for x
    x = 447,171,726,681/304,911
  6. Step 6: Final answer
    x = 1,466,564.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.