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Finding the Third Proportional to 491,284 and 745,789

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Solution

The third proportional to 491,284 and 745,789 is: 1,132,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,284 : 745,789 = 745,789 : x
  2. Step 2: Convert to fraction form
    491,284/745,789 = 745,789/x
  3. Step 3: Cross multiply
    491,284x = 745,789 × 745,789
  4. Step 4: Simplify right side
    491,284x = 556,201,232,521
  5. Step 5: Solve for x
    x = 556,201,232,521/491,284
  6. Step 6: Final answer
    x = 1,132,137.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.