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Finding the Third Proportional to 132,783,370,746 and 203,971,499,166

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Solution

The third proportional to 132,783,370,746 and 203,971,499,166 is: 313,325,171,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,783,370,746 : 203,971,499,166 = 203,971,499,166 : x
  2. Step 2: Convert to fraction form
    132,783,370,746/203,971,499,166 = 203,971,499,166/x
  3. Step 3: Cross multiply
    132,783,370,746x = 203,971,499,166 × 203,971,499,166
  4. Step 4: Simplify right side
    132,783,370,746x = 41,604,372,472,025,537,576,960
  5. Step 5: Solve for x
    x = 41,604,372,472,025,537,576,960/132,783,370,746
  6. Step 6: Final answer
    x = 313,325,171,957.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.