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Finding the Third Proportional to 231,234,390 and 545,689,665

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Solution

The third proportional to 231,234,390 and 545,689,665 is: 1,287,772,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,234,390 : 545,689,665 = 545,689,665 : x
  2. Step 2: Convert to fraction form
    231,234,390/545,689,665 = 545,689,665/x
  3. Step 3: Cross multiply
    231,234,390x = 545,689,665 × 545,689,665
  4. Step 4: Simplify right side
    231,234,390x = 297,777,210,487,812,224
  5. Step 5: Solve for x
    x = 297,777,210,487,812,224/231,234,390
  6. Step 6: Final answer
    x = 1,287,772,162.64

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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.