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Finding the Third Proportional to 290,713,271.25 and 446,846,349.38

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Solution

The third proportional to 290,713,271.25 and 446,846,349.38 is: 686,833,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,271.25 : 446,846,349.38 = 446,846,349.38 : x
  2. Step 2: Convert to fraction form
    290,713,271.25/446,846,349.38 = 446,846,349.38/x
  3. Step 3: Cross multiply
    290,713,271.25x = 446,846,349.38 × 446,846,349.38
  4. Step 4: Simplify right side
    290,713,271.25x = 199,671,659,949,764,576
  5. Step 5: Solve for x
    x = 199,671,659,949,764,576/290,713,271.25
  6. Step 6: Final answer
    x = 686,833,659.47

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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.