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Finding the Third Proportional to 280,017 and 415,633.50

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Solution

The third proportional to 280,017 and 415,633.50 is: 616,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,017 : 415,633.50 = 415,633.50 : x
  2. Step 2: Convert to fraction form
    280,017/415,633.50 = 415,633.50/x
  3. Step 3: Cross multiply
    280,017x = 415,633.50 × 415,633.50
  4. Step 4: Simplify right side
    280,017x = 172,751,206,322.25
  5. Step 5: Solve for x
    x = 172,751,206,322.25/280,017
  6. Step 6: Final answer
    x = 616,931.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.