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Finding the Third Proportional to 311,690 and 455,871

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Solution

The third proportional to 311,690 and 455,871 is: 666,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,690 : 455,871 = 455,871 : x
  2. Step 2: Convert to fraction form
    311,690/455,871 = 455,871/x
  3. Step 3: Cross multiply
    311,690x = 455,871 × 455,871
  4. Step 4: Simplify right side
    311,690x = 207,818,368,641
  5. Step 5: Solve for x
    x = 207,818,368,641/311,690
  6. Step 6: Final answer
    x = 666,746.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.