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Finding the Third Proportional to 489,322 and 715,101

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Solution

The third proportional to 489,322 and 715,101 is: 1,045,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,322 : 715,101 = 715,101 : x
  2. Step 2: Convert to fraction form
    489,322/715,101 = 715,101/x
  3. Step 3: Cross multiply
    489,322x = 715,101 × 715,101
  4. Step 4: Simplify right side
    489,322x = 511,369,440,201
  5. Step 5: Solve for x
    x = 511,369,440,201/489,322
  6. Step 6: Final answer
    x = 1,045,057.12

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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.