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Finding the Third Proportional to 414,380,495 and 621,418,579

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Solution

The third proportional to 414,380,495 and 621,418,579 is: 931,899,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,380,495 : 621,418,579 = 621,418,579 : x
  2. Step 2: Convert to fraction form
    414,380,495/621,418,579 = 621,418,579/x
  3. Step 3: Cross multiply
    414,380,495x = 621,418,579 × 621,418,579
  4. Step 4: Simplify right side
    414,380,495x = 386,161,050,326,379,264
  5. Step 5: Solve for x
    x = 386,161,050,326,379,264/414,380,495
  6. Step 6: Final answer
    x = 931,899,679.13

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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.