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Finding the Third Proportional to 231,221,817 and 545,642,095.50

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Solution

The third proportional to 231,221,817 and 545,642,095.50 is: 1,287,617,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,221,817 : 545,642,095.50 = 545,642,095.50 : x
  2. Step 2: Convert to fraction form
    231,221,817/545,642,095.50 = 545,642,095.50/x
  3. Step 3: Cross multiply
    231,221,817x = 545,642,095.50 × 545,642,095.50
  4. Step 4: Simplify right side
    231,221,817x = 297,725,296,381,631,104
  5. Step 5: Solve for x
    x = 297,725,296,381,631,104/231,221,817
  6. Step 6: Final answer
    x = 1,287,617,666.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.