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Finding the Third Proportional to 81,638,714 and 176,264,562

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Solution

The third proportional to 81,638,714 and 176,264,562 is: 380,569,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638,714 : 176,264,562 = 176,264,562 : x
  2. Step 2: Convert to fraction form
    81,638,714/176,264,562 = 176,264,562/x
  3. Step 3: Cross multiply
    81,638,714x = 176,264,562 × 176,264,562
  4. Step 4: Simplify right side
    81,638,714x = 31,069,195,817,051,844
  5. Step 5: Solve for x
    x = 31,069,195,817,051,844/81,638,714
  6. Step 6: Final answer
    x = 380,569,392.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.