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Finding the Third Proportional to 436,808 and 685,348

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Solution

The third proportional to 436,808 and 685,348 is: 1,075,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,808 : 685,348 = 685,348 : x
  2. Step 2: Convert to fraction form
    436,808/685,348 = 685,348/x
  3. Step 3: Cross multiply
    436,808x = 685,348 × 685,348
  4. Step 4: Simplify right side
    436,808x = 469,701,881,104
  5. Step 5: Solve for x
    x = 469,701,881,104/436,808
  6. Step 6: Final answer
    x = 1,075,305.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.