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Finding the Third Proportional to 47,997,480 and 103,656,295

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Solution

The third proportional to 47,997,480 and 103,656,295 is: 223,858,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,480 : 103,656,295 = 103,656,295 : x
  2. Step 2: Convert to fraction form
    47,997,480/103,656,295 = 103,656,295/x
  3. Step 3: Cross multiply
    47,997,480x = 103,656,295 × 103,656,295
  4. Step 4: Simplify right side
    47,997,480x = 10,744,627,493,127,024
  5. Step 5: Solve for x
    x = 10,744,627,493,127,024/47,997,480
  6. Step 6: Final answer
    x = 223,858,158.66

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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.