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Finding the Third Proportional to 82,982,511 and 121,783,345.50

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Solution

The third proportional to 82,982,511 and 121,783,345.50 is: 178,726,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982,511 : 121,783,345.50 = 121,783,345.50 : x
  2. Step 2: Convert to fraction form
    82,982,511/121,783,345.50 = 121,783,345.50/x
  3. Step 3: Cross multiply
    82,982,511x = 121,783,345.50 × 121,783,345.50
  4. Step 4: Simplify right side
    82,982,511x = 14,831,183,241,172,370
  5. Step 5: Solve for x
    x = 14,831,183,241,172,370/82,982,511
  6. Step 6: Final answer
    x = 178,726,614.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.