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Finding the Third Proportional to 144,311,634 and 315,085,216.50

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Solution

The third proportional to 144,311,634 and 315,085,216.50 is: 687,946,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,311,634 : 315,085,216.50 = 315,085,216.50 : x
  2. Step 2: Convert to fraction form
    144,311,634/315,085,216.50 = 315,085,216.50/x
  3. Step 3: Cross multiply
    144,311,634x = 315,085,216.50 × 315,085,216.50
  4. Step 4: Simplify right side
    144,311,634x = 99,278,693,656,851,872
  5. Step 5: Solve for x
    x = 99,278,693,656,851,872/144,311,634
  6. Step 6: Final answer
    x = 687,946,570.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.