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Finding the Third Proportional to 358,584 and 555,216

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Solution

The third proportional to 358,584 and 555,216 is: 859,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,584 : 555,216 = 555,216 : x
  2. Step 2: Convert to fraction form
    358,584/555,216 = 555,216/x
  3. Step 3: Cross multiply
    358,584x = 555,216 × 555,216
  4. Step 4: Simplify right side
    358,584x = 308,264,806,656
  5. Step 5: Solve for x
    x = 308,264,806,656/358,584
  6. Step 6: Final answer
    x = 859,672.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.