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Finding the Third Proportional to 142,767,245 and 192,626,534

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Solution

The third proportional to 142,767,245 and 192,626,534 is: 259,898,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,767,245 : 192,626,534 = 192,626,534 : x
  2. Step 2: Convert to fraction form
    142,767,245/192,626,534 = 192,626,534/x
  3. Step 3: Cross multiply
    142,767,245x = 192,626,534 × 192,626,534
  4. Step 4: Simplify right side
    142,767,245x = 37,104,981,600,853,152
  5. Step 5: Solve for x
    x = 37,104,981,600,853,152/142,767,245
  6. Step 6: Final answer
    x = 259,898,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.