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Finding the Third Proportional to 157,985,991 and 209,630,551.50

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Solution

The third proportional to 157,985,991 and 209,630,551.50 is: 278,157,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,985,991 : 209,630,551.50 = 209,630,551.50 : x
  2. Step 2: Convert to fraction form
    157,985,991/209,630,551.50 = 209,630,551.50/x
  3. Step 3: Cross multiply
    157,985,991x = 209,630,551.50 × 209,630,551.50
  4. Step 4: Simplify right side
    157,985,991x = 43,944,968,122,194,152
  5. Step 5: Solve for x
    x = 43,944,968,122,194,152/157,985,991
  6. Step 6: Final answer
    x = 278,157,372.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.