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Finding the Third Proportional to 455,312 and 668,206

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Solution

The third proportional to 455,312 and 668,206 is: 980,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,312 : 668,206 = 668,206 : x
  2. Step 2: Convert to fraction form
    455,312/668,206 = 668,206/x
  3. Step 3: Cross multiply
    455,312x = 668,206 × 668,206
  4. Step 4: Simplify right side
    455,312x = 446,499,258,436
  5. Step 5: Solve for x
    x = 446,499,258,436/455,312
  6. Step 6: Final answer
    x = 980,644.61

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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.