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Finding the Third Proportional to 282,776.50 and 615,307.50

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Solution

The third proportional to 282,776.50 and 615,307.50 is: 1,338,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,776.50 : 615,307.50 = 615,307.50 : x
  2. Step 2: Convert to fraction form
    282,776.50/615,307.50 = 615,307.50/x
  3. Step 3: Cross multiply
    282,776.50x = 615,307.50 × 615,307.50
  4. Step 4: Simplify right side
    282,776.50x = 378,603,319,556.25
  5. Step 5: Solve for x
    x = 378,603,319,556.25/282,776.50
  6. Step 6: Final answer
    x = 1,338,878.30

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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.