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Finding the Third Proportional to 489,768 and 756,817

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Solution

The third proportional to 489,768 and 756,817 is: 1,169,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,768 : 756,817 = 756,817 : x
  2. Step 2: Convert to fraction form
    489,768/756,817 = 756,817/x
  3. Step 3: Cross multiply
    489,768x = 756,817 × 756,817
  4. Step 4: Simplify right side
    489,768x = 572,771,971,489
  5. Step 5: Solve for x
    x = 572,771,971,489/489,768
  6. Step 6: Final answer
    x = 1,169,476.10

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