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Finding the Third Proportional to 232,770,132 and 387,933,988.50

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Solution

The third proportional to 232,770,132 and 387,933,988.50 is: 646,529,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,770,132 : 387,933,988.50 = 387,933,988.50 : x
  2. Step 2: Convert to fraction form
    232,770,132/387,933,988.50 = 387,933,988.50/x
  3. Step 3: Cross multiply
    232,770,132x = 387,933,988.50 × 387,933,988.50
  4. Step 4: Simplify right side
    232,770,132x = 150,492,779,433,518,144
  5. Step 5: Solve for x
    x = 150,492,779,433,518,144/232,770,132
  6. Step 6: Final answer
    x = 646,529,596.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.