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Finding the Third Proportional to 313,238,100 and 686,711,704

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Solution

The third proportional to 313,238,100 and 686,711,704 is: 1,505,477,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,238,100 : 686,711,704 = 686,711,704 : x
  2. Step 2: Convert to fraction form
    313,238,100/686,711,704 = 686,711,704/x
  3. Step 3: Cross multiply
    313,238,100x = 686,711,704 × 686,711,704
  4. Step 4: Simplify right side
    313,238,100x = 471,572,964,410,583,616
  5. Step 5: Solve for x
    x = 471,572,964,410,583,616/313,238,100
  6. Step 6: Final answer
    x = 1,505,477,668.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.