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Finding the Third Proportional to 455,223 and 655,762.50

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Solution

The third proportional to 455,223 and 655,762.50 is: 944,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,223 : 655,762.50 = 655,762.50 : x
  2. Step 2: Convert to fraction form
    455,223/655,762.50 = 655,762.50/x
  3. Step 3: Cross multiply
    455,223x = 655,762.50 × 655,762.50
  4. Step 4: Simplify right side
    455,223x = 430,024,456,406.25
  5. Step 5: Solve for x
    x = 430,024,456,406.25/455,223
  6. Step 6: Final answer
    x = 944,645.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.