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Finding the Third Proportional to 263,954,967.75 and 387,851,838.75

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Solution

The third proportional to 263,954,967.75 and 387,851,838.75 is: 569,904,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,954,967.75 : 387,851,838.75 = 387,851,838.75 : x
  2. Step 2: Convert to fraction form
    263,954,967.75/387,851,838.75 = 387,851,838.75/x
  3. Step 3: Cross multiply
    263,954,967.75x = 387,851,838.75 × 387,851,838.75
  4. Step 4: Simplify right side
    263,954,967.75x = 150,429,048,821,756,000
  5. Step 5: Solve for x
    x = 150,429,048,821,756,000/263,954,967.75
  6. Step 6: Final answer
    x = 569,904,215.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.