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Finding the Third Proportional to 130,413 and 278,051.25

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Solution

The third proportional to 130,413 and 278,051.25 is: 592,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,413 : 278,051.25 = 278,051.25 : x
  2. Step 2: Convert to fraction form
    130,413/278,051.25 = 278,051.25/x
  3. Step 3: Cross multiply
    130,413x = 278,051.25 × 278,051.25
  4. Step 4: Simplify right side
    130,413x = 77,312,497,626.56
  5. Step 5: Solve for x
    x = 77,312,497,626.56/130,413
  6. Step 6: Final answer
    x = 592,828.15

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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.