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Finding the Third Proportional to 310,506.75 and 455,537.25

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Solution

The third proportional to 310,506.75 and 455,537.25 is: 668,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,506.75 : 455,537.25 = 455,537.25 : x
  2. Step 2: Convert to fraction form
    310,506.75/455,537.25 = 455,537.25/x
  3. Step 3: Cross multiply
    310,506.75x = 455,537.25 × 455,537.25
  4. Step 4: Simplify right side
    310,506.75x = 207,514,186,137.56
  5. Step 5: Solve for x
    x = 207,514,186,137.56/310,506.75
  6. Step 6: Final answer
    x = 668,308.13

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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.