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Finding the Third Proportional to 81,941,973.75 and 178,896,335.63

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Solution

The third proportional to 81,941,973.75 and 178,896,335.63 is: 390,567,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,941,973.75 : 178,896,335.63 = 178,896,335.63 : x
  2. Step 2: Convert to fraction form
    81,941,973.75/178,896,335.63 = 178,896,335.63/x
  3. Step 3: Cross multiply
    81,941,973.75x = 178,896,335.63 × 178,896,335.63
  4. Step 4: Simplify right side
    81,941,973.75x = 32,003,898,900,052,644
  5. Step 5: Solve for x
    x = 32,003,898,900,052,644/81,941,973.75
  6. Step 6: Final answer
    x = 390,567,830.32

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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.