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Finding the Third Proportional to 261,278 and 390,901

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Solution

The third proportional to 261,278 and 390,901 is: 584,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,278 : 390,901 = 390,901 : x
  2. Step 2: Convert to fraction form
    261,278/390,901 = 390,901/x
  3. Step 3: Cross multiply
    261,278x = 390,901 × 390,901
  4. Step 4: Simplify right side
    261,278x = 152,803,591,801
  5. Step 5: Solve for x
    x = 152,803,591,801/261,278
  6. Step 6: Final answer
    x = 584,831.45

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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.