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Finding the Third Proportional to 816,543 and 1,267,440

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Solution

The third proportional to 816,543 and 1,267,440 is: 1,967,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,543 : 1,267,440 = 1,267,440 : x
  2. Step 2: Convert to fraction form
    816,543/1,267,440 = 1,267,440/x
  3. Step 3: Cross multiply
    816,543x = 1,267,440 × 1,267,440
  4. Step 4: Simplify right side
    816,543x = 1,606,404,153,600
  5. Step 5: Solve for x
    x = 1,606,404,153,600/816,543
  6. Step 6: Final answer
    x = 1,967,323.40

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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.