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Finding the Third Proportional to 4,991,742 and 7,133,148

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Solution

The third proportional to 4,991,742 and 7,133,148 is: 10,193,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,742 : 7,133,148 = 7,133,148 : x
  2. Step 2: Convert to fraction form
    4,991,742/7,133,148 = 7,133,148/x
  3. Step 3: Cross multiply
    4,991,742x = 7,133,148 × 7,133,148
  4. Step 4: Simplify right side
    4,991,742x = 50,881,800,389,904
  5. Step 5: Solve for x
    x = 50,881,800,389,904/4,991,742
  6. Step 6: Final answer
    x = 10,193,195.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.