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Finding the Third Proportional to 255,430 and 555,072

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Solution

The third proportional to 255,430 and 555,072 is: 1,206,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,430 : 555,072 = 555,072 : x
  2. Step 2: Convert to fraction form
    255,430/555,072 = 555,072/x
  3. Step 3: Cross multiply
    255,430x = 555,072 × 555,072
  4. Step 4: Simplify right side
    255,430x = 308,104,925,184
  5. Step 5: Solve for x
    x = 308,104,925,184/255,430
  6. Step 6: Final answer
    x = 1,206,220.59

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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.