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Finding the Third Proportional to 612,488 and 894,540

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Solution

The third proportional to 612,488 and 894,540 is: 1,306,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,488 : 894,540 = 894,540 : x
  2. Step 2: Convert to fraction form
    612,488/894,540 = 894,540/x
  3. Step 3: Cross multiply
    612,488x = 894,540 × 894,540
  4. Step 4: Simplify right side
    612,488x = 800,201,811,600
  5. Step 5: Solve for x
    x = 800,201,811,600/612,488
  6. Step 6: Final answer
    x = 1,306,477.53

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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.