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Finding the Third Proportional to 306,749 and 638,527

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Solution

The third proportional to 306,749 and 638,527 is: 1,329,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,749 : 638,527 = 638,527 : x
  2. Step 2: Convert to fraction form
    306,749/638,527 = 638,527/x
  3. Step 3: Cross multiply
    306,749x = 638,527 × 638,527
  4. Step 4: Simplify right side
    306,749x = 407,716,729,729
  5. Step 5: Solve for x
    x = 407,716,729,729/306,749
  6. Step 6: Final answer
    x = 1,329,154.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.