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Finding the Third Proportional to 133,891,140,868 and 291,317,126,750

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Solution

The third proportional to 133,891,140,868 and 291,317,126,750 is: 633,840,803,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,891,140,868 : 291,317,126,750 = 291,317,126,750 : x
  2. Step 2: Convert to fraction form
    133,891,140,868/291,317,126,750 = 291,317,126,750/x
  3. Step 3: Cross multiply
    133,891,140,868x = 291,317,126,750 × 291,317,126,750
  4. Step 4: Simplify right side
    133,891,140,868x = 84,865,668,337,875,558,596,608
  5. Step 5: Solve for x
    x = 84,865,668,337,875,558,596,608/133,891,140,868
  6. Step 6: Final answer
    x = 633,840,803,713.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.