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Finding the Third Proportional to 282,080 and 615,608

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Solution

The third proportional to 282,080 and 615,608 is: 1,343,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,080 : 615,608 = 615,608 : x
  2. Step 2: Convert to fraction form
    282,080/615,608 = 615,608/x
  3. Step 3: Cross multiply
    282,080x = 615,608 × 615,608
  4. Step 4: Simplify right side
    282,080x = 378,973,209,664
  5. Step 5: Solve for x
    x = 378,973,209,664/282,080
  6. Step 6: Final answer
    x = 1,343,495.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.