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Finding the Third Proportional to 489,762 and 756,807

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Solution

The third proportional to 489,762 and 756,807 is: 1,169,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,762 : 756,807 = 756,807 : x
  2. Step 2: Convert to fraction form
    489,762/756,807 = 756,807/x
  3. Step 3: Cross multiply
    489,762x = 756,807 × 756,807
  4. Step 4: Simplify right side
    489,762x = 572,756,835,249
  5. Step 5: Solve for x
    x = 572,756,835,249/489,762
  6. Step 6: Final answer
    x = 1,169,459.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.