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Finding the Third Proportional to 78,208,881 and 114,919,065

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Solution

The third proportional to 78,208,881 and 114,919,065 is: 168,860,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208,881 : 114,919,065 = 114,919,065 : x
  2. Step 2: Convert to fraction form
    78,208,881/114,919,065 = 114,919,065/x
  3. Step 3: Cross multiply
    78,208,881x = 114,919,065 × 114,919,065
  4. Step 4: Simplify right side
    78,208,881x = 13,206,391,500,474,224
  5. Step 5: Solve for x
    x = 13,206,391,500,474,224/78,208,881
  6. Step 6: Final answer
    x = 168,860,509.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.