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Finding the Third Proportional to 86,442.19 and 128,410.31

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Solution

The third proportional to 86,442.19 and 128,410.31 is: 190,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,442.19 : 128,410.31 = 128,410.31 : x
  2. Step 2: Convert to fraction form
    86,442.19/128,410.31 = 128,410.31/x
  3. Step 3: Cross multiply
    86,442.19x = 128,410.31 × 128,410.31
  4. Step 4: Simplify right side
    86,442.19x = 16,489,208,356.35
  5. Step 5: Solve for x
    x = 16,489,208,356.35/86,442.19
  6. Step 6: Final answer
    x = 190,754.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.