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Finding the Third Proportional to 170,506 and 258,130

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Solution

The third proportional to 170,506 and 258,130 is: 390,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,506 : 258,130 = 258,130 : x
  2. Step 2: Convert to fraction form
    170,506/258,130 = 258,130/x
  3. Step 3: Cross multiply
    170,506x = 258,130 × 258,130
  4. Step 4: Simplify right side
    170,506x = 66,631,096,900
  5. Step 5: Solve for x
    x = 66,631,096,900/170,506
  6. Step 6: Final answer
    x = 390,784.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.