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Finding the Third Proportional to 58,470 and 136,641

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Solution

The third proportional to 58,470 and 136,641 is: 319,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,470 : 136,641 = 136,641 : x
  2. Step 2: Convert to fraction form
    58,470/136,641 = 136,641/x
  3. Step 3: Cross multiply
    58,470x = 136,641 × 136,641
  4. Step 4: Simplify right side
    58,470x = 18,670,762,881
  5. Step 5: Solve for x
    x = 18,670,762,881/58,470
  6. Step 6: Final answer
    x = 319,322.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.