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Finding the Third Proportional to 813,480 and 1,236,806

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Solution

The third proportional to 813,480 and 1,236,806 is: 1,880,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,480 : 1,236,806 = 1,236,806 : x
  2. Step 2: Convert to fraction form
    813,480/1,236,806 = 1,236,806/x
  3. Step 3: Cross multiply
    813,480x = 1,236,806 × 1,236,806
  4. Step 4: Simplify right side
    813,480x = 1,529,689,081,636
  5. Step 5: Solve for x
    x = 1,529,689,081,636/813,480
  6. Step 6: Final answer
    x = 1,880,426.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.