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Finding the Third Proportional to 280,747,215 and 436,430,830.50

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Solution

The third proportional to 280,747,215 and 436,430,830.50 is: 678,446,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,747,215 : 436,430,830.50 = 436,430,830.50 : x
  2. Step 2: Convert to fraction form
    280,747,215/436,430,830.50 = 436,430,830.50/x
  3. Step 3: Cross multiply
    280,747,215x = 436,430,830.50 × 436,430,830.50
  4. Step 4: Simplify right side
    280,747,215x = 190,471,869,810,919,744
  5. Step 5: Solve for x
    x = 190,471,869,810,919,744/280,747,215
  6. Step 6: Final answer
    x = 678,446,159.51

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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.