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Finding the Third Proportional to 255,070 and 558,623

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Solution

The third proportional to 255,070 and 558,623 is: 1,223,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,070 : 558,623 = 558,623 : x
  2. Step 2: Convert to fraction form
    255,070/558,623 = 558,623/x
  3. Step 3: Cross multiply
    255,070x = 558,623 × 558,623
  4. Step 4: Simplify right side
    255,070x = 312,059,656,129
  5. Step 5: Solve for x
    x = 312,059,656,129/255,070
  6. Step 6: Final answer
    x = 1,223,427.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.