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Finding the Third Proportional to 130,408 and 278,039

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Solution

The third proportional to 130,408 and 278,039 is: 592,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,408 : 278,039 = 278,039 : x
  2. Step 2: Convert to fraction form
    130,408/278,039 = 278,039/x
  3. Step 3: Cross multiply
    130,408x = 278,039 × 278,039
  4. Step 4: Simplify right side
    130,408x = 77,305,685,521
  5. Step 5: Solve for x
    x = 77,305,685,521/130,408
  6. Step 6: Final answer
    x = 592,798.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.