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Finding the Third Proportional to 432,307.50 and 690,621

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Solution

The third proportional to 432,307.50 and 690,621 is: 1,103,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,307.50 : 690,621 = 690,621 : x
  2. Step 2: Convert to fraction form
    432,307.50/690,621 = 690,621/x
  3. Step 3: Cross multiply
    432,307.50x = 690,621 × 690,621
  4. Step 4: Simplify right side
    432,307.50x = 476,957,365,641
  5. Step 5: Solve for x
    x = 476,957,365,641/432,307.50
  6. Step 6: Final answer
    x = 1,103,282.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.