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Finding the Third Proportional to 20,826,072 and 45,234,328.50

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Solution

The third proportional to 20,826,072 and 45,234,328.50 is: 98,249,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826,072 : 45,234,328.50 = 45,234,328.50 : x
  2. Step 2: Convert to fraction form
    20,826,072/45,234,328.50 = 45,234,328.50/x
  3. Step 3: Cross multiply
    20,826,072x = 45,234,328.50 × 45,234,328.50
  4. Step 4: Simplify right side
    20,826,072x = 2,046,144,474,845,912.25
  5. Step 5: Solve for x
    x = 2,046,144,474,845,912.25/20,826,072
  6. Step 6: Final answer
    x = 98,249,178.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.