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Finding the Third Proportional to 988.45 and 1,421.93

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Solution

The third proportional to 988.45 and 1,421.93 is: 2,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.45 : 1,421.93 = 1,421.93 : x
  2. Step 2: Convert to fraction form
    988.45/1,421.93 = 1,421.93/x
  3. Step 3: Cross multiply
    988.45x = 1,421.93 × 1,421.93
  4. Step 4: Simplify right side
    988.45x = 2,021,884.04
  5. Step 5: Solve for x
    x = 2,021,884.04/988.45
  6. Step 6: Final answer
    x = 2,045.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.