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Finding the Third Proportional to 288,156.50 and 462,989

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Solution

The third proportional to 288,156.50 and 462,989 is: 743,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,156.50 : 462,989 = 462,989 : x
  2. Step 2: Convert to fraction form
    288,156.50/462,989 = 462,989/x
  3. Step 3: Cross multiply
    288,156.50x = 462,989 × 462,989
  4. Step 4: Simplify right side
    288,156.50x = 214,358,814,121
  5. Step 5: Solve for x
    x = 214,358,814,121/288,156.50
  6. Step 6: Final answer
    x = 743,897.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.