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Finding the Third Proportional to 186,770 and 399,784

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Solution

The third proportional to 186,770 and 399,784 is: 855,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,770 : 399,784 = 399,784 : x
  2. Step 2: Convert to fraction form
    186,770/399,784 = 399,784/x
  3. Step 3: Cross multiply
    186,770x = 399,784 × 399,784
  4. Step 4: Simplify right side
    186,770x = 159,827,246,656
  5. Step 5: Solve for x
    x = 159,827,246,656/186,770
  6. Step 6: Final answer
    x = 855,743.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.