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Finding the Third Proportional to 286,128 and 425,808

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Solution

The third proportional to 286,128 and 425,808 is: 633,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,128 : 425,808 = 425,808 : x
  2. Step 2: Convert to fraction form
    286,128/425,808 = 425,808/x
  3. Step 3: Cross multiply
    286,128x = 425,808 × 425,808
  4. Step 4: Simplify right side
    286,128x = 181,312,452,864
  5. Step 5: Solve for x
    x = 181,312,452,864/286,128
  6. Step 6: Final answer
    x = 633,676.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.