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Finding the Third Proportional to 356,575.50 and 783,130.50

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Solution

The third proportional to 356,575.50 and 783,130.50 is: 1,719,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,575.50 : 783,130.50 = 783,130.50 : x
  2. Step 2: Convert to fraction form
    356,575.50/783,130.50 = 783,130.50/x
  3. Step 3: Cross multiply
    356,575.50x = 783,130.50 × 783,130.50
  4. Step 4: Simplify right side
    356,575.50x = 613,293,380,030.25
  5. Step 5: Solve for x
    x = 613,293,380,030.25/356,575.50
  6. Step 6: Final answer
    x = 1,719,953.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.