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Finding the Third Proportional to 286,746,977.75 and 617,616,141

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Solution

The third proportional to 286,746,977.75 and 617,616,141 is: 1,330,265,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,746,977.75 : 617,616,141 = 617,616,141 : x
  2. Step 2: Convert to fraction form
    286,746,977.75/617,616,141 = 617,616,141/x
  3. Step 3: Cross multiply
    286,746,977.75x = 617,616,141 × 617,616,141
  4. Step 4: Simplify right side
    286,746,977.75x = 381,449,697,623,731,904
  5. Step 5: Solve for x
    x = 381,449,697,623,731,904/286,746,977.75
  6. Step 6: Final answer
    x = 1,330,265,799.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.