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Finding the Third Proportional to 208,268,101 and 433,774,430.25

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Solution

The third proportional to 208,268,101 and 433,774,430.25 is: 903,452,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268,101 : 433,774,430.25 = 433,774,430.25 : x
  2. Step 2: Convert to fraction form
    208,268,101/433,774,430.25 = 433,774,430.25/x
  3. Step 3: Cross multiply
    208,268,101x = 433,774,430.25 × 433,774,430.25
  4. Step 4: Simplify right side
    208,268,101x = 188,160,256,338,712,128
  5. Step 5: Solve for x
    x = 188,160,256,338,712,128/208,268,101
  6. Step 6: Final answer
    x = 903,452,115.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.