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Finding the Third Proportional to 489,402 and 717,930

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Solution

The third proportional to 489,402 and 717,930 is: 1,053,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,402 : 717,930 = 717,930 : x
  2. Step 2: Convert to fraction form
    489,402/717,930 = 717,930/x
  3. Step 3: Cross multiply
    489,402x = 717,930 × 717,930
  4. Step 4: Simplify right side
    489,402x = 515,423,484,900
  5. Step 5: Solve for x
    x = 515,423,484,900/489,402
  6. Step 6: Final answer
    x = 1,053,169.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.