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Finding the Third Proportional to 310,533 and 665,333

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Solution

The third proportional to 310,533 and 665,333 is: 1,425,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,533 : 665,333 = 665,333 : x
  2. Step 2: Convert to fraction form
    310,533/665,333 = 665,333/x
  3. Step 3: Cross multiply
    310,533x = 665,333 × 665,333
  4. Step 4: Simplify right side
    310,533x = 442,668,000,889
  5. Step 5: Solve for x
    x = 442,668,000,889/310,533
  6. Step 6: Final answer
    x = 1,425,510.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.