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Finding the Third Proportional to 85,053 and 128,237.63

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Solution

The third proportional to 85,053 and 128,237.63 is: 193,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,053 : 128,237.63 = 128,237.63 : x
  2. Step 2: Convert to fraction form
    85,053/128,237.63 = 128,237.63/x
  3. Step 3: Cross multiply
    85,053x = 128,237.63 × 128,237.63
  4. Step 4: Simplify right side
    85,053x = 16,444,888,465.64
  5. Step 5: Solve for x
    x = 16,444,888,465.64/85,053
  6. Step 6: Final answer
    x = 193,348.72

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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.