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Finding the Third Proportional to 69,579,509 and 137,402,720.50

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Solution

The third proportional to 69,579,509 and 137,402,720.50 is: 271,337,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,579,509 : 137,402,720.50 = 137,402,720.50 : x
  2. Step 2: Convert to fraction form
    69,579,509/137,402,720.50 = 137,402,720.50/x
  3. Step 3: Cross multiply
    69,579,509x = 137,402,720.50 × 137,402,720.50
  4. Step 4: Simplify right side
    69,579,509x = 18,879,507,600,801,120
  5. Step 5: Solve for x
    x = 18,879,507,600,801,120/69,579,509
  6. Step 6: Final answer
    x = 271,337,177.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.