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Finding the Third Proportional to 123,207 and 265,854

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Solution

The third proportional to 123,207 and 265,854 is: 573,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,207 : 265,854 = 265,854 : x
  2. Step 2: Convert to fraction form
    123,207/265,854 = 265,854/x
  3. Step 3: Cross multiply
    123,207x = 265,854 × 265,854
  4. Step 4: Simplify right side
    123,207x = 70,678,349,316
  5. Step 5: Solve for x
    x = 70,678,349,316/123,207
  6. Step 6: Final answer
    x = 573,655.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.