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Finding the Third Proportional to 128,853 and 200,386.50

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Solution

The third proportional to 128,853 and 200,386.50 is: 311,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,853 : 200,386.50 = 200,386.50 : x
  2. Step 2: Convert to fraction form
    128,853/200,386.50 = 200,386.50/x
  3. Step 3: Cross multiply
    128,853x = 200,386.50 × 200,386.50
  4. Step 4: Simplify right side
    128,853x = 40,154,749,382.25
  5. Step 5: Solve for x
    x = 40,154,749,382.25/128,853
  6. Step 6: Final answer
    x = 311,632.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.