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Finding the Third Proportional to 290,713,476.25 and 446,846,744.75

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Solution

The third proportional to 290,713,476.25 and 446,846,744.75 is: 686,834,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,476.25 : 446,846,744.75 = 446,846,744.75 : x
  2. Step 2: Convert to fraction form
    290,713,476.25/446,846,744.75 = 446,846,744.75/x
  3. Step 3: Cross multiply
    290,713,476.25x = 446,846,744.75 × 446,846,744.75
  4. Step 4: Simplify right side
    290,713,476.25x = 199,672,013,293,671,648
  5. Step 5: Solve for x
    x = 199,672,013,293,671,648/290,713,476.25
  6. Step 6: Final answer
    x = 686,834,390.58

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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.