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Finding the Third Proportional to 46,793,602.13 and 100,985,757.75

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Solution

The third proportional to 46,793,602.13 and 100,985,757.75 is: 217,938,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,602.13 : 100,985,757.75 = 100,985,757.75 : x
  2. Step 2: Convert to fraction form
    46,793,602.13/100,985,757.75 = 100,985,757.75/x
  3. Step 3: Cross multiply
    46,793,602.13x = 100,985,757.75 × 100,985,757.75
  4. Step 4: Simplify right side
    46,793,602.13x = 10,198,123,268,341,686
  5. Step 5: Solve for x
    x = 10,198,123,268,341,686/46,793,602.13
  6. Step 6: Final answer
    x = 217,938,410.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.