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Finding the Third Proportional to 290,468.53 and 448,653.94

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Solution

The third proportional to 290,468.53 and 448,653.94 is: 692,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,468.53 : 448,653.94 = 448,653.94 : x
  2. Step 2: Convert to fraction form
    290,468.53/448,653.94 = 448,653.94/x
  3. Step 3: Cross multiply
    290,468.53x = 448,653.94 × 448,653.94
  4. Step 4: Simplify right side
    290,468.53x = 201,290,355,634.25
  5. Step 5: Solve for x
    x = 201,290,355,634.25/290,468.53
  6. Step 6: Final answer
    x = 692,985.07

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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.