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Finding the Third Proportional to 258,080 and 389,712

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Solution

The third proportional to 258,080 and 389,712 is: 588,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,080 : 389,712 = 389,712 : x
  2. Step 2: Convert to fraction form
    258,080/389,712 = 389,712/x
  3. Step 3: Cross multiply
    258,080x = 389,712 × 389,712
  4. Step 4: Simplify right side
    258,080x = 151,875,442,944
  5. Step 5: Solve for x
    x = 151,875,442,944/258,080
  6. Step 6: Final answer
    x = 588,482.03

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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.