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Finding the Third Proportional to 451,506 and 663,772

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Solution

The third proportional to 451,506 and 663,772 is: 975,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,506 : 663,772 = 663,772 : x
  2. Step 2: Convert to fraction form
    451,506/663,772 = 663,772/x
  3. Step 3: Cross multiply
    451,506x = 663,772 × 663,772
  4. Step 4: Simplify right side
    451,506x = 440,593,267,984
  5. Step 5: Solve for x
    x = 440,593,267,984/451,506
  6. Step 6: Final answer
    x = 975,830.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.