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Finding the Third Proportional to 25,763 and 40,948.50

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Solution

The third proportional to 25,763 and 40,948.50 is: 65,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763 : 40,948.50 = 40,948.50 : x
  2. Step 2: Convert to fraction form
    25,763/40,948.50 = 40,948.50/x
  3. Step 3: Cross multiply
    25,763x = 40,948.50 × 40,948.50
  4. Step 4: Simplify right side
    25,763x = 1,676,779,652.25
  5. Step 5: Solve for x
    x = 1,676,779,652.25/25,763
  6. Step 6: Final answer
    x = 65,084.80

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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.