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Finding the Third Proportional to 310,246.50 and 455,514

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Solution

The third proportional to 310,246.50 and 455,514 is: 668,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,246.50 : 455,514 = 455,514 : x
  2. Step 2: Convert to fraction form
    310,246.50/455,514 = 455,514/x
  3. Step 3: Cross multiply
    310,246.50x = 455,514 × 455,514
  4. Step 4: Simplify right side
    310,246.50x = 207,493,004,196
  5. Step 5: Solve for x
    x = 207,493,004,196/310,246.50
  6. Step 6: Final answer
    x = 668,800.47

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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.