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Finding the Third Proportional to 134,776 and 289,235

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Solution

The third proportional to 134,776 and 289,235 is: 620,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,776 : 289,235 = 289,235 : x
  2. Step 2: Convert to fraction form
    134,776/289,235 = 289,235/x
  3. Step 3: Cross multiply
    134,776x = 289,235 × 289,235
  4. Step 4: Simplify right side
    134,776x = 83,656,885,225
  5. Step 5: Solve for x
    x = 83,656,885,225/134,776
  6. Step 6: Final answer
    x = 620,710.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.