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Finding the Third Proportional to 489,336 and 715,121

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Solution

The third proportional to 489,336 and 715,121 is: 1,045,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,336 : 715,121 = 715,121 : x
  2. Step 2: Convert to fraction form
    489,336/715,121 = 715,121/x
  3. Step 3: Cross multiply
    489,336x = 715,121 × 715,121
  4. Step 4: Simplify right side
    489,336x = 511,398,044,641
  5. Step 5: Solve for x
    x = 511,398,044,641/489,336
  6. Step 6: Final answer
    x = 1,045,085.68

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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.