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Finding the Third Proportional to 455,631 and 487,707

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Solution

The third proportional to 455,631 and 487,707 is: 522,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,631 : 487,707 = 487,707 : x
  2. Step 2: Convert to fraction form
    455,631/487,707 = 487,707/x
  3. Step 3: Cross multiply
    455,631x = 487,707 × 487,707
  4. Step 4: Simplify right side
    455,631x = 237,858,117,849
  5. Step 5: Solve for x
    x = 237,858,117,849/455,631
  6. Step 6: Final answer
    x = 522,041.12

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.