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Finding the Third Proportional to 288,381,432 and 446,821,365

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Solution

The third proportional to 288,381,432 and 446,821,365 is: 692,309,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,381,432 : 446,821,365 = 446,821,365 : x
  2. Step 2: Convert to fraction form
    288,381,432/446,821,365 = 446,821,365/x
  3. Step 3: Cross multiply
    288,381,432x = 446,821,365 × 446,821,365
  4. Step 4: Simplify right side
    288,381,432x = 199,649,332,220,463,232
  5. Step 5: Solve for x
    x = 199,649,332,220,463,232/288,381,432
  6. Step 6: Final answer
    x = 692,309,941.16

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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.