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Finding the Third Proportional to 385,258 and 511,332

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Solution

The third proportional to 385,258 and 511,332 is: 678,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,258 : 511,332 = 511,332 : x
  2. Step 2: Convert to fraction form
    385,258/511,332 = 511,332/x
  3. Step 3: Cross multiply
    385,258x = 511,332 × 511,332
  4. Step 4: Simplify right side
    385,258x = 261,460,414,224
  5. Step 5: Solve for x
    x = 261,460,414,224/385,258
  6. Step 6: Final answer
    x = 678,663.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.