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Finding the Third Proportional to 58,398 and 128,460

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Solution

The third proportional to 58,398 and 128,460 is: 282,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,398 : 128,460 = 128,460 : x
  2. Step 2: Convert to fraction form
    58,398/128,460 = 128,460/x
  3. Step 3: Cross multiply
    58,398x = 128,460 × 128,460
  4. Step 4: Simplify right side
    58,398x = 16,501,971,600
  5. Step 5: Solve for x
    x = 16,501,971,600/58,398
  6. Step 6: Final answer
    x = 282,577.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.