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Finding the Third Proportional to 280,559.25 and 435,312

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Solution

The third proportional to 280,559.25 and 435,312 is: 675,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,559.25 : 435,312 = 435,312 : x
  2. Step 2: Convert to fraction form
    280,559.25/435,312 = 435,312/x
  3. Step 3: Cross multiply
    280,559.25x = 435,312 × 435,312
  4. Step 4: Simplify right side
    280,559.25x = 189,496,537,344
  5. Step 5: Solve for x
    x = 189,496,537,344/280,559.25
  6. Step 6: Final answer
    x = 675,424.31

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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.