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Finding the Third Proportional to 299,585 and 621,284

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Solution

The third proportional to 299,585 and 621,284 is: 1,288,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,585 : 621,284 = 621,284 : x
  2. Step 2: Convert to fraction form
    299,585/621,284 = 621,284/x
  3. Step 3: Cross multiply
    299,585x = 621,284 × 621,284
  4. Step 4: Simplify right side
    299,585x = 385,993,808,656
  5. Step 5: Solve for x
    x = 385,993,808,656/299,585
  6. Step 6: Final answer
    x = 1,288,428.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.