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Finding the Third Proportional to 198,641,088 and 427,640,720

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Solution

The third proportional to 198,641,088 and 427,640,720 is: 920,638,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641,088 : 427,640,720 = 427,640,720 : x
  2. Step 2: Convert to fraction form
    198,641,088/427,640,720 = 427,640,720/x
  3. Step 3: Cross multiply
    198,641,088x = 427,640,720 × 427,640,720
  4. Step 4: Simplify right side
    198,641,088x = 182,876,585,402,118,400
  5. Step 5: Solve for x
    x = 182,876,585,402,118,400/198,641,088
  6. Step 6: Final answer
    x = 920,638,258.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.