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Finding the Third Proportional to 286,344.88 and 420,752

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Solution

The third proportional to 286,344.88 and 420,752 is: 618,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,344.88 : 420,752 = 420,752 : x
  2. Step 2: Convert to fraction form
    286,344.88/420,752 = 420,752/x
  3. Step 3: Cross multiply
    286,344.88x = 420,752 × 420,752
  4. Step 4: Simplify right side
    286,344.88x = 177,032,245,504
  5. Step 5: Solve for x
    x = 177,032,245,504/286,344.88
  6. Step 6: Final answer
    x = 618,248.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.