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Finding the Third Proportional to 58,490 and 91,659

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Solution

The third proportional to 58,490 and 91,659 is: 143,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,490 : 91,659 = 91,659 : x
  2. Step 2: Convert to fraction form
    58,490/91,659 = 91,659/x
  3. Step 3: Cross multiply
    58,490x = 91,659 × 91,659
  4. Step 4: Simplify right side
    58,490x = 8,401,372,281
  5. Step 5: Solve for x
    x = 8,401,372,281/58,490
  6. Step 6: Final answer
    x = 143,637.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.