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Finding the Third Proportional to 341,610 and 509,655

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Solution

The third proportional to 341,610 and 509,655 is: 760,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,610 : 509,655 = 509,655 : x
  2. Step 2: Convert to fraction form
    341,610/509,655 = 509,655/x
  3. Step 3: Cross multiply
    341,610x = 509,655 × 509,655
  4. Step 4: Simplify right side
    341,610x = 259,748,219,025
  5. Step 5: Solve for x
    x = 259,748,219,025/341,610
  6. Step 6: Final answer
    x = 760,364.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.