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Finding the Third Proportional to 345,257,160 and 526,503,087

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Solution

The third proportional to 345,257,160 and 526,503,087 is: 802,895,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,257,160 : 526,503,087 = 526,503,087 : x
  2. Step 2: Convert to fraction form
    345,257,160/526,503,087 = 526,503,087/x
  3. Step 3: Cross multiply
    345,257,160x = 526,503,087 × 526,503,087
  4. Step 4: Simplify right side
    345,257,160x = 277,205,500,620,529,568
  5. Step 5: Solve for x
    x = 277,205,500,620,529,568/345,257,160
  6. Step 6: Final answer
    x = 802,895,733.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.