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Finding the Third Proportional to 401,320.13 and 550,312.31

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Solution

The third proportional to 401,320.13 and 550,312.31 is: 754,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,320.13 : 550,312.31 = 550,312.31 : x
  2. Step 2: Convert to fraction form
    401,320.13/550,312.31 = 550,312.31/x
  3. Step 3: Cross multiply
    401,320.13x = 550,312.31 × 550,312.31
  4. Step 4: Simplify right side
    401,320.13x = 302,843,641,289.10
  5. Step 5: Solve for x
    x = 302,843,641,289.10/401,320.13
  6. Step 6: Final answer
    x = 754,618.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.