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Finding the Third Proportional to 53,490 and 113,586

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Solution

The third proportional to 53,490 and 113,586 is: 241,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490 : 113,586 = 113,586 : x
  2. Step 2: Convert to fraction form
    53,490/113,586 = 113,586/x
  3. Step 3: Cross multiply
    53,490x = 113,586 × 113,586
  4. Step 4: Simplify right side
    53,490x = 12,901,779,396
  5. Step 5: Solve for x
    x = 12,901,779,396/53,490
  6. Step 6: Final answer
    x = 241,199.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.