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Finding the Third Proportional to 101,890,938 and 223,798,764

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Solution

The third proportional to 101,890,938 and 223,798,764 is: 491,563,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,890,938 : 223,798,764 = 223,798,764 : x
  2. Step 2: Convert to fraction form
    101,890,938/223,798,764 = 223,798,764/x
  3. Step 3: Cross multiply
    101,890,938x = 223,798,764 × 223,798,764
  4. Step 4: Simplify right side
    101,890,938x = 50,085,886,767,927,696
  5. Step 5: Solve for x
    x = 50,085,886,767,927,696/101,890,938
  6. Step 6: Final answer
    x = 491,563,702.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.