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Finding the Third Proportional to 69,180,820 and 101,689,260

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Solution

The third proportional to 69,180,820 and 101,689,260 is: 149,473,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,180,820 : 101,689,260 = 101,689,260 : x
  2. Step 2: Convert to fraction form
    69,180,820/101,689,260 = 101,689,260/x
  3. Step 3: Cross multiply
    69,180,820x = 101,689,260 × 101,689,260
  4. Step 4: Simplify right side
    69,180,820x = 10,340,705,599,347,600
  5. Step 5: Solve for x
    x = 10,340,705,599,347,600/69,180,820
  6. Step 6: Final answer
    x = 149,473,591.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.