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Finding the Third Proportional to 109,282,780 and 178,430,054

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Solution

The third proportional to 109,282,780 and 178,430,054 is: 291,329,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282,780 : 178,430,054 = 178,430,054 : x
  2. Step 2: Convert to fraction form
    109,282,780/178,430,054 = 178,430,054/x
  3. Step 3: Cross multiply
    109,282,780x = 178,430,054 × 178,430,054
  4. Step 4: Simplify right side
    109,282,780x = 31,837,284,170,442,916
  5. Step 5: Solve for x
    x = 31,837,284,170,442,916/109,282,780
  6. Step 6: Final answer
    x = 291,329,376.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.