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Finding the Third Proportional to 28,428 and 43,030

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Solution

The third proportional to 28,428 and 43,030 is: 65,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,428 : 43,030 = 43,030 : x
  2. Step 2: Convert to fraction form
    28,428/43,030 = 43,030/x
  3. Step 3: Cross multiply
    28,428x = 43,030 × 43,030
  4. Step 4: Simplify right side
    28,428x = 1,851,580,900
  5. Step 5: Solve for x
    x = 1,851,580,900/28,428
  6. Step 6: Final answer
    x = 65,132.30

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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.