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Finding the Third Proportional to 78,068.81 and 117,953.63

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Solution

The third proportional to 78,068.81 and 117,953.63 is: 178,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068.81 : 117,953.63 = 117,953.63 : x
  2. Step 2: Convert to fraction form
    78,068.81/117,953.63 = 117,953.63/x
  3. Step 3: Cross multiply
    78,068.81x = 117,953.63 × 117,953.63
  4. Step 4: Simplify right side
    78,068.81x = 13,913,057,650.64
  5. Step 5: Solve for x
    x = 13,913,057,650.64/78,068.81
  6. Step 6: Final answer
    x = 178,215.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.