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Finding the Third Proportional to 69,011,678 and 147,717,679

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Solution

The third proportional to 69,011,678 and 147,717,679 is: 316,185,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,011,678 : 147,717,679 = 147,717,679 : x
  2. Step 2: Convert to fraction form
    69,011,678/147,717,679 = 147,717,679/x
  3. Step 3: Cross multiply
    69,011,678x = 147,717,679 × 147,717,679
  4. Step 4: Simplify right side
    69,011,678x = 21,820,512,689,147,040
  5. Step 5: Solve for x
    x = 21,820,512,689,147,040/69,011,678
  6. Step 6: Final answer
    x = 316,185,801.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.