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Finding the Third Proportional to 434,601 and 691,537

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Solution

The third proportional to 434,601 and 691,537 is: 1,100,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,601 : 691,537 = 691,537 : x
  2. Step 2: Convert to fraction form
    434,601/691,537 = 691,537/x
  3. Step 3: Cross multiply
    434,601x = 691,537 × 691,537
  4. Step 4: Simplify right side
    434,601x = 478,223,422,369
  5. Step 5: Solve for x
    x = 478,223,422,369/434,601
  6. Step 6: Final answer
    x = 1,100,373.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.