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Finding the Third Proportional to 58,656 and 128,337.75

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Solution

The third proportional to 58,656 and 128,337.75 is: 280,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,656 : 128,337.75 = 128,337.75 : x
  2. Step 2: Convert to fraction form
    58,656/128,337.75 = 128,337.75/x
  3. Step 3: Cross multiply
    58,656x = 128,337.75 × 128,337.75
  4. Step 4: Simplify right side
    58,656x = 16,470,578,075.06
  5. Step 5: Solve for x
    x = 16,470,578,075.06/58,656
  6. Step 6: Final answer
    x = 280,799.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.