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Finding the Third Proportional to 259,316 and 423,430

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Solution

The third proportional to 259,316 and 423,430 is: 691,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,316 : 423,430 = 423,430 : x
  2. Step 2: Convert to fraction form
    259,316/423,430 = 423,430/x
  3. Step 3: Cross multiply
    259,316x = 423,430 × 423,430
  4. Step 4: Simplify right side
    259,316x = 179,292,964,900
  5. Step 5: Solve for x
    x = 179,292,964,900/259,316
  6. Step 6: Final answer
    x = 691,407.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.