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Finding the Third Proportional to 282,045 and 436,930.50

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Solution

The third proportional to 282,045 and 436,930.50 is: 676,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,045 : 436,930.50 = 436,930.50 : x
  2. Step 2: Convert to fraction form
    282,045/436,930.50 = 436,930.50/x
  3. Step 3: Cross multiply
    282,045x = 436,930.50 × 436,930.50
  4. Step 4: Simplify right side
    282,045x = 190,908,261,830.25
  5. Step 5: Solve for x
    x = 190,908,261,830.25/282,045
  6. Step 6: Final answer
    x = 676,871.64

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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.