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Finding the Third Proportional to 79,059,473,196 and 120,441,638,740

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Solution

The third proportional to 79,059,473,196 and 120,441,638,740 is: 183,484,505,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,059,473,196 : 120,441,638,740 = 120,441,638,740 : x
  2. Step 2: Convert to fraction form
    79,059,473,196/120,441,638,740 = 120,441,638,740/x
  3. Step 3: Cross multiply
    79,059,473,196x = 120,441,638,740 × 120,441,638,740
  4. Step 4: Simplify right side
    79,059,473,196x = 14,506,188,342,376,668,332,032
  5. Step 5: Solve for x
    x = 14,506,188,342,376,668,332,032/79,059,473,196
  6. Step 6: Final answer
    x = 183,484,505,473.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.