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Finding the Third Proportional to 72,859,642 and 157,826,191

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Solution

The third proportional to 72,859,642 and 157,826,191 is: 341,877,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,859,642 : 157,826,191 = 157,826,191 : x
  2. Step 2: Convert to fraction form
    72,859,642/157,826,191 = 157,826,191/x
  3. Step 3: Cross multiply
    72,859,642x = 157,826,191 × 157,826,191
  4. Step 4: Simplify right side
    72,859,642x = 24,909,106,565,568,480
  5. Step 5: Solve for x
    x = 24,909,106,565,568,480/72,859,642
  6. Step 6: Final answer
    x = 341,877,970.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.