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Finding the Third Proportional to 140,157,191 and 301,880,160

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Solution

The third proportional to 140,157,191 and 301,880,160 is: 650,210,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,157,191 : 301,880,160 = 301,880,160 : x
  2. Step 2: Convert to fraction form
    140,157,191/301,880,160 = 301,880,160/x
  3. Step 3: Cross multiply
    140,157,191x = 301,880,160 × 301,880,160
  4. Step 4: Simplify right side
    140,157,191x = 91,131,631,001,625,600
  5. Step 5: Solve for x
    x = 91,131,631,001,625,600/140,157,191
  6. Step 6: Final answer
    x = 650,210,170.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.