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Finding the Third Proportional to 307,971,570 and 641,417,802

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Solution

The third proportional to 307,971,570 and 641,417,802 is: 1,335,892,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,971,570 : 641,417,802 = 641,417,802 : x
  2. Step 2: Convert to fraction form
    307,971,570/641,417,802 = 641,417,802/x
  3. Step 3: Cross multiply
    307,971,570x = 641,417,802 × 641,417,802
  4. Step 4: Simplify right side
    307,971,570x = 411,416,796,722,511,232
  5. Step 5: Solve for x
    x = 411,416,796,722,511,232/307,971,570
  6. Step 6: Final answer
    x = 1,335,892,130.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.