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Finding the Third Proportional to 134,608.71 and 208,403.51

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Solution

The third proportional to 134,608.71 and 208,403.51 is: 322,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,608.71 : 208,403.51 = 208,403.51 : x
  2. Step 2: Convert to fraction form
    134,608.71/208,403.51 = 208,403.51/x
  3. Step 3: Cross multiply
    134,608.71x = 208,403.51 × 208,403.51
  4. Step 4: Simplify right side
    134,608.71x = 43,432,022,068.55
  5. Step 5: Solve for x
    x = 43,432,022,068.55/134,608.71
  6. Step 6: Final answer
    x = 322,653.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.