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Finding the Third Proportional to 100,214,688 and 209,592,353.25

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Solution

The third proportional to 100,214,688 and 209,592,353.25 is: 438,348,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214,688 : 209,592,353.25 = 209,592,353.25 : x
  2. Step 2: Convert to fraction form
    100,214,688/209,592,353.25 = 209,592,353.25/x
  3. Step 3: Cross multiply
    100,214,688x = 209,592,353.25 × 209,592,353.25
  4. Step 4: Simplify right side
    100,214,688x = 43,928,954,540,872,784
  5. Step 5: Solve for x
    x = 43,928,954,540,872,784/100,214,688
  6. Step 6: Final answer
    x = 438,348,463.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.