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Finding the Third Proportional to 187,130 and 400,948

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Solution

The third proportional to 187,130 and 400,948 is: 859,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,130 : 400,948 = 400,948 : x
  2. Step 2: Convert to fraction form
    187,130/400,948 = 400,948/x
  3. Step 3: Cross multiply
    187,130x = 400,948 × 400,948
  4. Step 4: Simplify right side
    187,130x = 160,759,298,704
  5. Step 5: Solve for x
    x = 160,759,298,704/187,130
  6. Step 6: Final answer
    x = 859,078.17

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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.