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Finding the Third Proportional to 143,745,805 and 312,677,406

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Solution

The third proportional to 143,745,805 and 312,677,406 is: 680,139,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,745,805 : 312,677,406 = 312,677,406 : x
  2. Step 2: Convert to fraction form
    143,745,805/312,677,406 = 312,677,406/x
  3. Step 3: Cross multiply
    143,745,805x = 312,677,406 × 312,677,406
  4. Step 4: Simplify right side
    143,745,805x = 97,767,160,222,888,832
  5. Step 5: Solve for x
    x = 97,767,160,222,888,832/143,745,805
  6. Step 6: Final answer
    x = 680,139,223.70

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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.