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Finding the Third Proportional to 133,547,409 and 289,936,638

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Solution

The third proportional to 133,547,409 and 289,936,638 is: 629,463,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,547,409 : 289,936,638 = 289,936,638 : x
  2. Step 2: Convert to fraction form
    133,547,409/289,936,638 = 289,936,638/x
  3. Step 3: Cross multiply
    133,547,409x = 289,936,638 × 289,936,638
  4. Step 4: Simplify right side
    133,547,409x = 84,063,254,054,743,040
  5. Step 5: Solve for x
    x = 84,063,254,054,743,040/133,547,409
  6. Step 6: Final answer
    x = 629,463,758.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.