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Finding the Third Proportional to 384,938,769.50 and 790,284,271

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Solution

The third proportional to 384,938,769.50 and 790,284,271 is: 1,622,463,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,938,769.50 : 790,284,271 = 790,284,271 : x
  2. Step 2: Convert to fraction form
    384,938,769.50/790,284,271 = 790,284,271/x
  3. Step 3: Cross multiply
    384,938,769.50x = 790,284,271 × 790,284,271
  4. Step 4: Simplify right side
    384,938,769.50x = 624,549,228,990,001,408
  5. Step 5: Solve for x
    x = 624,549,228,990,001,408/384,938,769.50
  6. Step 6: Final answer
    x = 1,622,463,826.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.