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Finding the Third Proportional to 455.63 and 710.02

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Solution

The third proportional to 455.63 and 710.02 is: 1,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 710.02 = 710.02 : x
  2. Step 2: Convert to fraction form
    455.63/710.02 = 710.02/x
  3. Step 3: Cross multiply
    455.63x = 710.02 × 710.02
  4. Step 4: Simplify right side
    455.63x = 504,122.19
  5. Step 5: Solve for x
    x = 504,122.19/455.63
  6. Step 6: Final answer
    x = 1,106.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.