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Finding the Third Proportional to 133,396,389 and 289,057,113

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Solution

The third proportional to 133,396,389 and 289,057,113 is: 626,358,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396,389 : 289,057,113 = 289,057,113 : x
  2. Step 2: Convert to fraction form
    133,396,389/289,057,113 = 289,057,113/x
  3. Step 3: Cross multiply
    133,396,389x = 289,057,113 × 289,057,113
  4. Step 4: Simplify right side
    133,396,389x = 83,554,014,575,894,768
  5. Step 5: Solve for x
    x = 83,554,014,575,894,768/133,396,389
  6. Step 6: Final answer
    x = 626,358,893.24

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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.