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Finding the Third Proportional to 336.63 and 714.02

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Solution

The third proportional to 336.63 and 714.02 is: 1,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.63 : 714.02 = 714.02 : x
  2. Step 2: Convert to fraction form
    336.63/714.02 = 714.02/x
  3. Step 3: Cross multiply
    336.63x = 714.02 × 714.02
  4. Step 4: Simplify right side
    336.63x = 509,829.47
  5. Step 5: Solve for x
    x = 509,829.47/336.63
  6. Step 6: Final answer
    x = 1,514.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.