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Finding the Third Proportional to 306,405 and 472,527

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Solution

The third proportional to 306,405 and 472,527 is: 728,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,405 : 472,527 = 472,527 : x
  2. Step 2: Convert to fraction form
    306,405/472,527 = 472,527/x
  3. Step 3: Cross multiply
    306,405x = 472,527 × 472,527
  4. Step 4: Simplify right side
    306,405x = 223,281,765,729
  5. Step 5: Solve for x
    x = 223,281,765,729/306,405
  6. Step 6: Final answer
    x = 728,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.