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Finding the Third Proportional to 286,787 and 420,037

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Solution

The third proportional to 286,787 and 420,037 is: 615,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,787 : 420,037 = 420,037 : x
  2. Step 2: Convert to fraction form
    286,787/420,037 = 420,037/x
  3. Step 3: Cross multiply
    286,787x = 420,037 × 420,037
  4. Step 4: Simplify right side
    286,787x = 176,431,081,369
  5. Step 5: Solve for x
    x = 176,431,081,369/286,787
  6. Step 6: Final answer
    x = 615,199.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.