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Finding the Third Proportional to 69,820,015.50 and 146,875,720.50

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Solution

The third proportional to 69,820,015.50 and 146,875,720.50 is: 308,972,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,820,015.50 : 146,875,720.50 = 146,875,720.50 : x
  2. Step 2: Convert to fraction form
    69,820,015.50/146,875,720.50 = 146,875,720.50/x
  3. Step 3: Cross multiply
    69,820,015.50x = 146,875,720.50 × 146,875,720.50
  4. Step 4: Simplify right side
    69,820,015.50x = 21,572,477,272,394,120
  5. Step 5: Solve for x
    x = 21,572,477,272,394,120/69,820,015.50
  6. Step 6: Final answer
    x = 308,972,679.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.