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Finding the Third Proportional to 253,140,430.50 and 380,384,646.75

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Solution

The third proportional to 253,140,430.50 and 380,384,646.75 is: 571,589,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,140,430.50 : 380,384,646.75 = 380,384,646.75 : x
  2. Step 2: Convert to fraction form
    253,140,430.50/380,384,646.75 = 380,384,646.75/x
  3. Step 3: Cross multiply
    253,140,430.50x = 380,384,646.75 × 380,384,646.75
  4. Step 4: Simplify right side
    253,140,430.50x = 144,692,479,483,122,272
  5. Step 5: Solve for x
    x = 144,692,479,483,122,272/253,140,430.50
  6. Step 6: Final answer
    x = 571,589,766.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.