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Finding the Third Proportional to 77,534,372 and 169,152,040

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Solution

The third proportional to 77,534,372 and 169,152,040 is: 369,028,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534,372 : 169,152,040 = 169,152,040 : x
  2. Step 2: Convert to fraction form
    77,534,372/169,152,040 = 169,152,040/x
  3. Step 3: Cross multiply
    77,534,372x = 169,152,040 × 169,152,040
  4. Step 4: Simplify right side
    77,534,372x = 28,612,412,636,161,600
  5. Step 5: Solve for x
    x = 28,612,412,636,161,600/77,534,372
  6. Step 6: Final answer
    x = 369,028,753.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.