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Finding the Third Proportional to 198,867,447 and 468,785,866.50

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Solution

The third proportional to 198,867,447 and 468,785,866.50 is: 1,105,058,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,867,447 : 468,785,866.50 = 468,785,866.50 : x
  2. Step 2: Convert to fraction form
    198,867,447/468,785,866.50 = 468,785,866.50/x
  3. Step 3: Cross multiply
    198,867,447x = 468,785,866.50 × 468,785,866.50
  4. Step 4: Simplify right side
    198,867,447x = 219,760,188,630,155,808
  5. Step 5: Solve for x
    x = 219,760,188,630,155,808/198,867,447
  6. Step 6: Final answer
    x = 1,105,058,630.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.