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Finding the Third Proportional to 285,879.50 and 420,897.50

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Solution

The third proportional to 285,879.50 and 420,897.50 is: 619,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,879.50 : 420,897.50 = 420,897.50 : x
  2. Step 2: Convert to fraction form
    285,879.50/420,897.50 = 420,897.50/x
  3. Step 3: Cross multiply
    285,879.50x = 420,897.50 × 420,897.50
  4. Step 4: Simplify right side
    285,879.50x = 177,154,705,506.25
  5. Step 5: Solve for x
    x = 177,154,705,506.25/285,879.50
  6. Step 6: Final answer
    x = 619,683.14

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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.