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Finding the Third Proportional to 261,308 and 390,949

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Solution

The third proportional to 261,308 and 390,949 is: 584,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,308 : 390,949 = 390,949 : x
  2. Step 2: Convert to fraction form
    261,308/390,949 = 390,949/x
  3. Step 3: Cross multiply
    261,308x = 390,949 × 390,949
  4. Step 4: Simplify right side
    261,308x = 152,841,120,601
  5. Step 5: Solve for x
    x = 152,841,120,601/261,308
  6. Step 6: Final answer
    x = 584,907.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.