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Finding the Third Proportional to 78,209,068.50 and 114,919,310.25

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Solution

The third proportional to 78,209,068.50 and 114,919,310.25 is: 168,860,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,209,068.50 : 114,919,310.25 = 114,919,310.25 : x
  2. Step 2: Convert to fraction form
    78,209,068.50/114,919,310.25 = 114,919,310.25/x
  3. Step 3: Cross multiply
    78,209,068.50x = 114,919,310.25 × 114,919,310.25
  4. Step 4: Simplify right side
    78,209,068.50x = 13,206,447,868,335,756
  5. Step 5: Solve for x
    x = 13,206,447,868,335,756/78,209,068.50
  6. Step 6: Final answer
    x = 168,860,825.50

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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.