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Finding the Third Proportional to 142,897 and 210,214.50

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Solution

The third proportional to 142,897 and 210,214.50 is: 309,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,897 : 210,214.50 = 210,214.50 : x
  2. Step 2: Convert to fraction form
    142,897/210,214.50 = 210,214.50/x
  3. Step 3: Cross multiply
    142,897x = 210,214.50 × 210,214.50
  4. Step 4: Simplify right side
    142,897x = 44,190,136,010.25
  5. Step 5: Solve for x
    x = 44,190,136,010.25/142,897
  6. Step 6: Final answer
    x = 309,244.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.