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Finding the Third Proportional to 58,604 and 128,312

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Solution

The third proportional to 58,604 and 128,312 is: 280,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,604 : 128,312 = 128,312 : x
  2. Step 2: Convert to fraction form
    58,604/128,312 = 128,312/x
  3. Step 3: Cross multiply
    58,604x = 128,312 × 128,312
  4. Step 4: Simplify right side
    58,604x = 16,463,969,344
  5. Step 5: Solve for x
    x = 16,463,969,344/58,604
  6. Step 6: Final answer
    x = 280,935.93

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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.