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Finding the Third Proportional to 53,490 and 76,407

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Solution

The third proportional to 53,490 and 76,407 is: 109,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490 : 76,407 = 76,407 : x
  2. Step 2: Convert to fraction form
    53,490/76,407 = 76,407/x
  3. Step 3: Cross multiply
    53,490x = 76,407 × 76,407
  4. Step 4: Simplify right side
    53,490x = 5,838,029,649
  5. Step 5: Solve for x
    x = 5,838,029,649/53,490
  6. Step 6: Final answer
    x = 109,142.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.