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Finding the Third Proportional to 816,480 and 1,269,432

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Solution

The third proportional to 816,480 and 1,269,432 is: 1,973,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,480 : 1,269,432 = 1,269,432 : x
  2. Step 2: Convert to fraction form
    816,480/1,269,432 = 1,269,432/x
  3. Step 3: Cross multiply
    816,480x = 1,269,432 × 1,269,432
  4. Step 4: Simplify right side
    816,480x = 1,611,457,602,624
  5. Step 5: Solve for x
    x = 1,611,457,602,624/816,480
  6. Step 6: Final answer
    x = 1,973,664.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.