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Finding the Third Proportional to 261,207 and 417,072

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Solution

The third proportional to 261,207 and 417,072 is: 665,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,207 : 417,072 = 417,072 : x
  2. Step 2: Convert to fraction form
    261,207/417,072 = 417,072/x
  3. Step 3: Cross multiply
    261,207x = 417,072 × 417,072
  4. Step 4: Simplify right side
    261,207x = 173,949,053,184
  5. Step 5: Solve for x
    x = 173,949,053,184/261,207
  6. Step 6: Final answer
    x = 665,943.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.