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Finding the Third Proportional to 120,993,390 and 185,975,505

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Solution

The third proportional to 120,993,390 and 185,975,505 is: 285,857,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993,390 : 185,975,505 = 185,975,505 : x
  2. Step 2: Convert to fraction form
    120,993,390/185,975,505 = 185,975,505/x
  3. Step 3: Cross multiply
    120,993,390x = 185,975,505 × 185,975,505
  4. Step 4: Simplify right side
    120,993,390x = 34,586,888,460,005,024
  5. Step 5: Solve for x
    x = 34,586,888,460,005,024/120,993,390
  6. Step 6: Final answer
    x = 285,857,669.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.