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Finding the Third Proportional to 280,208.81 and 608,045.63

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Solution

The third proportional to 280,208.81 and 608,045.63 is: 1,319,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,208.81 : 608,045.63 = 608,045.63 : x
  2. Step 2: Convert to fraction form
    280,208.81/608,045.63 = 608,045.63/x
  3. Step 3: Cross multiply
    280,208.81x = 608,045.63 × 608,045.63
  4. Step 4: Simplify right side
    280,208.81x = 369,719,482,081.64
  5. Step 5: Solve for x
    x = 369,719,482,081.64/280,208.81
  6. Step 6: Final answer
    x = 1,319,442.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.