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Finding the Third Proportional to 520,935.75 and 802,162.13

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Solution

The third proportional to 520,935.75 and 802,162.13 is: 1,235,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,935.75 : 802,162.13 = 802,162.13 : x
  2. Step 2: Convert to fraction form
    520,935.75/802,162.13 = 802,162.13/x
  3. Step 3: Cross multiply
    520,935.75x = 802,162.13 × 802,162.13
  4. Step 4: Simplify right side
    520,935.75x = 643,464,074,784.52
  5. Step 5: Solve for x
    x = 643,464,074,784.52/520,935.75
  6. Step 6: Final answer
    x = 1,235,208.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.