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Finding the Third Proportional to 288,263.25 and 613,948.50

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Solution

The third proportional to 288,263.25 and 613,948.50 is: 1,307,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,263.25 : 613,948.50 = 613,948.50 : x
  2. Step 2: Convert to fraction form
    288,263.25/613,948.50 = 613,948.50/x
  3. Step 3: Cross multiply
    288,263.25x = 613,948.50 × 613,948.50
  4. Step 4: Simplify right side
    288,263.25x = 376,932,760,652.25
  5. Step 5: Solve for x
    x = 376,932,760,652.25/288,263.25
  6. Step 6: Final answer
    x = 1,307,599.08

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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.