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Finding the Third Proportional to 286,806 and 623,364

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Solution

The third proportional to 286,806 and 623,364 is: 1,354,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,806 : 623,364 = 623,364 : x
  2. Step 2: Convert to fraction form
    286,806/623,364 = 623,364/x
  3. Step 3: Cross multiply
    286,806x = 623,364 × 623,364
  4. Step 4: Simplify right side
    286,806x = 388,582,676,496
  5. Step 5: Solve for x
    x = 388,582,676,496/286,806
  6. Step 6: Final answer
    x = 1,354,862.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.