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Finding the Third Proportional to 128,554.59 and 282,024.28

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Solution

The third proportional to 128,554.59 and 282,024.28 is: 618,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,554.59 : 282,024.28 = 282,024.28 : x
  2. Step 2: Convert to fraction form
    128,554.59/282,024.28 = 282,024.28/x
  3. Step 3: Cross multiply
    128,554.59x = 282,024.28 × 282,024.28
  4. Step 4: Simplify right side
    128,554.59x = 79,537,695,214.58
  5. Step 5: Solve for x
    x = 79,537,695,214.58/128,554.59
  6. Step 6: Final answer
    x = 618,707.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.