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Finding the Third Proportional to 398,253,012 and 623,362,019

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Solution

The third proportional to 398,253,012 and 623,362,019 is: 975,711,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,253,012 : 623,362,019 = 623,362,019 : x
  2. Step 2: Convert to fraction form
    398,253,012/623,362,019 = 623,362,019/x
  3. Step 3: Cross multiply
    398,253,012x = 623,362,019 × 623,362,019
  4. Step 4: Simplify right side
    398,253,012x = 388,580,206,731,756,352
  5. Step 5: Solve for x
    x = 388,580,206,731,756,352/398,253,012
  6. Step 6: Final answer
    x = 975,711,909.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.