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Finding the Third Proportional to 306,402 and 457,749

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Solution

The third proportional to 306,402 and 457,749 is: 683,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,402 : 457,749 = 457,749 : x
  2. Step 2: Convert to fraction form
    306,402/457,749 = 457,749/x
  3. Step 3: Cross multiply
    306,402x = 457,749 × 457,749
  4. Step 4: Simplify right side
    306,402x = 209,534,147,001
  5. Step 5: Solve for x
    x = 209,534,147,001/306,402
  6. Step 6: Final answer
    x = 683,853.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.