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Finding the Third Proportional to 70,385,409 and 147,206,133

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Solution

The third proportional to 70,385,409 and 147,206,133 is: 307,871,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,385,409 : 147,206,133 = 147,206,133 : x
  2. Step 2: Convert to fraction form
    70,385,409/147,206,133 = 147,206,133/x
  3. Step 3: Cross multiply
    70,385,409x = 147,206,133 × 147,206,133
  4. Step 4: Simplify right side
    70,385,409x = 21,669,645,592,813,688
  5. Step 5: Solve for x
    x = 21,669,645,592,813,688/70,385,409
  6. Step 6: Final answer
    x = 307,871,274.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.