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Finding the Third Proportional to 143,345,960 and 221,355,774

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Solution

The third proportional to 143,345,960 and 221,355,774 is: 341,819,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,345,960 : 221,355,774 = 221,355,774 : x
  2. Step 2: Convert to fraction form
    143,345,960/221,355,774 = 221,355,774/x
  3. Step 3: Cross multiply
    143,345,960x = 221,355,774 × 221,355,774
  4. Step 4: Simplify right side
    143,345,960x = 48,998,378,683,139,072
  5. Step 5: Solve for x
    x = 48,998,378,683,139,072/143,345,960
  6. Step 6: Final answer
    x = 341,819,041.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.