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Finding the Third Proportional to 310,467 and 455,478

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Solution

The third proportional to 310,467 and 455,478 is: 668,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,467 : 455,478 = 455,478 : x
  2. Step 2: Convert to fraction form
    310,467/455,478 = 455,478/x
  3. Step 3: Cross multiply
    310,467x = 455,478 × 455,478
  4. Step 4: Simplify right side
    310,467x = 207,460,208,484
  5. Step 5: Solve for x
    x = 207,460,208,484/310,467
  6. Step 6: Final answer
    x = 668,219.84

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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.