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Finding the Third Proportional to 280,747,254 and 436,430,892

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Solution

The third proportional to 280,747,254 and 436,430,892 is: 678,446,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,747,254 : 436,430,892 = 436,430,892 : x
  2. Step 2: Convert to fraction form
    280,747,254/436,430,892 = 436,430,892/x
  3. Step 3: Cross multiply
    280,747,254x = 436,430,892 × 436,430,892
  4. Step 4: Simplify right side
    280,747,254x = 190,471,923,491,915,648
  5. Step 5: Solve for x
    x = 190,471,923,491,915,648/280,747,254
  6. Step 6: Final answer
    x = 678,446,256.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.