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Finding the Third Proportional to 291,578,265 and 642,589,465.50

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Solution

The third proportional to 291,578,265 and 642,589,465.50 is: 1,416,159,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578,265 : 642,589,465.50 = 642,589,465.50 : x
  2. Step 2: Convert to fraction form
    291,578,265/642,589,465.50 = 642,589,465.50/x
  3. Step 3: Cross multiply
    291,578,265x = 642,589,465.50 × 642,589,465.50
  4. Step 4: Simplify right side
    291,578,265x = 412,921,221,171,575,680
  5. Step 5: Solve for x
    x = 412,921,221,171,575,680/291,578,265
  6. Step 6: Final answer
    x = 1,416,159,126.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.