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Finding the Third Proportional to 258,153 and 559,209

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Solution

The third proportional to 258,153 and 559,209 is: 1,211,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,153 : 559,209 = 559,209 : x
  2. Step 2: Convert to fraction form
    258,153/559,209 = 559,209/x
  3. Step 3: Cross multiply
    258,153x = 559,209 × 559,209
  4. Step 4: Simplify right side
    258,153x = 312,714,705,681
  5. Step 5: Solve for x
    x = 312,714,705,681/258,153
  6. Step 6: Final answer
    x = 1,211,354.14

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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.