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Finding the Third Proportional to 455,332.50 and 689,805

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Solution

The third proportional to 455,332.50 and 689,805 is: 1,045,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,332.50 : 689,805 = 689,805 : x
  2. Step 2: Convert to fraction form
    455,332.50/689,805 = 689,805/x
  3. Step 3: Cross multiply
    455,332.50x = 689,805 × 689,805
  4. Step 4: Simplify right side
    455,332.50x = 475,830,938,025
  5. Step 5: Solve for x
    x = 475,830,938,025/455,332.50
  6. Step 6: Final answer
    x = 1,045,018.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.