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Finding the Third Proportional to 72,705,721.50 and 159,093,315

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Solution

The third proportional to 72,705,721.50 and 159,093,315 is: 348,125,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705,721.50 : 159,093,315 = 159,093,315 : x
  2. Step 2: Convert to fraction form
    72,705,721.50/159,093,315 = 159,093,315/x
  3. Step 3: Cross multiply
    72,705,721.50x = 159,093,315 × 159,093,315
  4. Step 4: Simplify right side
    72,705,721.50x = 25,310,682,877,689,224
  5. Step 5: Solve for x
    x = 25,310,682,877,689,224/72,705,721.50
  6. Step 6: Final answer
    x = 348,125,049.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.