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Finding the Third Proportional to 142,703.25 and 304,406.25

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Solution

The third proportional to 142,703.25 and 304,406.25 is: 649,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,703.25 : 304,406.25 = 304,406.25 : x
  2. Step 2: Convert to fraction form
    142,703.25/304,406.25 = 304,406.25/x
  3. Step 3: Cross multiply
    142,703.25x = 304,406.25 × 304,406.25
  4. Step 4: Simplify right side
    142,703.25x = 92,663,165,039.06
  5. Step 5: Solve for x
    x = 92,663,165,039.06/142,703.25
  6. Step 6: Final answer
    x = 649,341.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.