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Finding the Third Proportional to 388,560,975 and 634,417,933.50

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Solution

The third proportional to 388,560,975 and 634,417,933.50 is: 1,035,837,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,560,975 : 634,417,933.50 = 634,417,933.50 : x
  2. Step 2: Convert to fraction form
    388,560,975/634,417,933.50 = 634,417,933.50/x
  3. Step 3: Cross multiply
    388,560,975x = 634,417,933.50 × 634,417,933.50
  4. Step 4: Simplify right side
    388,560,975x = 402,486,114,346,410,432
  5. Step 5: Solve for x
    x = 402,486,114,346,410,432/388,560,975
  6. Step 6: Final answer
    x = 1,035,837,719.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.