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Finding the Third Proportional to 128,428.13 and 205,095.94

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Solution

The third proportional to 128,428.13 and 205,095.94 is: 327,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,428.13 : 205,095.94 = 205,095.94 : x
  2. Step 2: Convert to fraction form
    128,428.13/205,095.94 = 205,095.94/x
  3. Step 3: Cross multiply
    128,428.13x = 205,095.94 × 205,095.94
  4. Step 4: Simplify right side
    128,428.13x = 42,064,343,579.00
  5. Step 5: Solve for x
    x = 42,064,343,579.00/128,428.13
  6. Step 6: Final answer
    x = 327,532.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.