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Finding the Third Proportional to 218,709,786 and 307,642,446

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Solution

The third proportional to 218,709,786 and 307,642,446 is: 432,737,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709,786 : 307,642,446 = 307,642,446 : x
  2. Step 2: Convert to fraction form
    218,709,786/307,642,446 = 307,642,446/x
  3. Step 3: Cross multiply
    218,709,786x = 307,642,446 × 307,642,446
  4. Step 4: Simplify right side
    218,709,786x = 94,643,874,580,862,912
  5. Step 5: Solve for x
    x = 94,643,874,580,862,912/218,709,786
  6. Step 6: Final answer
    x = 432,737,264.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.