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Finding the Third Proportional to 491,054 and 766,428

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Solution

The third proportional to 491,054 and 766,428 is: 1,196,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,054 : 766,428 = 766,428 : x
  2. Step 2: Convert to fraction form
    491,054/766,428 = 766,428/x
  3. Step 3: Cross multiply
    491,054x = 766,428 × 766,428
  4. Step 4: Simplify right side
    491,054x = 587,411,879,184
  5. Step 5: Solve for x
    x = 587,411,879,184/491,054
  6. Step 6: Final answer
    x = 1,196,226.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.