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Finding the Third Proportional to 136,066,710 and 210,115,311

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Solution

The third proportional to 136,066,710 and 210,115,311 is: 324,461,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,066,710 : 210,115,311 = 210,115,311 : x
  2. Step 2: Convert to fraction form
    136,066,710/210,115,311 = 210,115,311/x
  3. Step 3: Cross multiply
    136,066,710x = 210,115,311 × 210,115,311
  4. Step 4: Simplify right side
    136,066,710x = 44,148,443,916,626,720
  5. Step 5: Solve for x
    x = 44,148,443,916,626,720/136,066,710
  6. Step 6: Final answer
    x = 324,461,757.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.