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Finding the Third Proportional to 210,645 and 318,235.50

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Solution

The third proportional to 210,645 and 318,235.50 is: 480,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,645 : 318,235.50 = 318,235.50 : x
  2. Step 2: Convert to fraction form
    210,645/318,235.50 = 318,235.50/x
  3. Step 3: Cross multiply
    210,645x = 318,235.50 × 318,235.50
  4. Step 4: Simplify right side
    210,645x = 101,273,833,460.25
  5. Step 5: Solve for x
    x = 101,273,833,460.25/210,645
  6. Step 6: Final answer
    x = 480,779.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.