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Finding the Third Proportional to 489,329 and 715,111

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Solution

The third proportional to 489,329 and 715,111 is: 1,045,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,329 : 715,111 = 715,111 : x
  2. Step 2: Convert to fraction form
    489,329/715,111 = 715,111/x
  3. Step 3: Cross multiply
    489,329x = 715,111 × 715,111
  4. Step 4: Simplify right side
    489,329x = 511,383,742,321
  5. Step 5: Solve for x
    x = 511,383,742,321/489,329
  6. Step 6: Final answer
    x = 1,045,071.40

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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.