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Finding the Third Proportional to 288,847.11 and 623,364.93

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Solution

The third proportional to 288,847.11 and 623,364.93 is: 1,345,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,847.11 : 623,364.93 = 623,364.93 : x
  2. Step 2: Convert to fraction form
    288,847.11/623,364.93 = 623,364.93/x
  3. Step 3: Cross multiply
    288,847.11x = 623,364.93 × 623,364.93
  4. Step 4: Simplify right side
    288,847.11x = 388,583,830,694.26
  5. Step 5: Solve for x
    x = 388,583,830,694.26/288,847.11
  6. Step 6: Final answer
    x = 1,345,292.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.