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Finding the Third Proportional to 280,747,217 and 436,430,834

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Solution

The third proportional to 280,747,217 and 436,430,834 is: 678,446,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,747,217 : 436,430,834 = 436,430,834 : x
  2. Step 2: Convert to fraction form
    280,747,217/436,430,834 = 436,430,834/x
  3. Step 3: Cross multiply
    280,747,217x = 436,430,834 × 436,430,834
  4. Step 4: Simplify right side
    280,747,217x = 190,471,872,865,935,552
  5. Step 5: Solve for x
    x = 190,471,872,865,935,552/280,747,217
  6. Step 6: Final answer
    x = 678,446,165.56

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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.