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Finding the Third Proportional to 401,864.63 and 621,693.56

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Solution

The third proportional to 401,864.63 and 621,693.56 is: 961,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,864.63 : 621,693.56 = 621,693.56 : x
  2. Step 2: Convert to fraction form
    401,864.63/621,693.56 = 621,693.56/x
  3. Step 3: Cross multiply
    401,864.63x = 621,693.56 × 621,693.56
  4. Step 4: Simplify right side
    401,864.63x = 386,502,885,653.94
  5. Step 5: Solve for x
    x = 386,502,885,653.94/401,864.63
  6. Step 6: Final answer
    x = 961,773.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.