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Finding the Third Proportional to 332,343,783 and 769,316,373

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Solution

The third proportional to 332,343,783 and 769,316,373 is: 1,780,829,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343,783 : 769,316,373 = 769,316,373 : x
  2. Step 2: Convert to fraction form
    332,343,783/769,316,373 = 769,316,373/x
  3. Step 3: Cross multiply
    332,343,783x = 769,316,373 × 769,316,373
  4. Step 4: Simplify right side
    332,343,783x = 591,847,681,765,875,072
  5. Step 5: Solve for x
    x = 591,847,681,765,875,072/332,343,783
  6. Step 6: Final answer
    x = 1,780,829,707.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.