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Finding the Third Proportional to 69,426,902 and 149,302,154

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Solution

The third proportional to 69,426,902 and 149,302,154 is: 321,073,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,426,902 : 149,302,154 = 149,302,154 : x
  2. Step 2: Convert to fraction form
    69,426,902/149,302,154 = 149,302,154/x
  3. Step 3: Cross multiply
    69,426,902x = 149,302,154 × 149,302,154
  4. Step 4: Simplify right side
    69,426,902x = 22,291,133,189,039,716
  5. Step 5: Solve for x
    x = 22,291,133,189,039,716/69,426,902
  6. Step 6: Final answer
    x = 321,073,424.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.