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Finding the Third Proportional to 201,107,853 and 307,507,630.50

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Solution

The third proportional to 201,107,853 and 307,507,630.50 is: 470,200,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107,853 : 307,507,630.50 = 307,507,630.50 : x
  2. Step 2: Convert to fraction form
    201,107,853/307,507,630.50 = 307,507,630.50/x
  3. Step 3: Cross multiply
    201,107,853x = 307,507,630.50 × 307,507,630.50
  4. Step 4: Simplify right side
    201,107,853x = 94,560,942,815,724,528
  5. Step 5: Solve for x
    x = 94,560,942,815,724,528/201,107,853
  6. Step 6: Final answer
    x = 470,200,150.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.