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Finding the Third Proportional to 610,678 and 897,770

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Solution

The third proportional to 610,678 and 897,770 is: 1,319,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,678 : 897,770 = 897,770 : x
  2. Step 2: Convert to fraction form
    610,678/897,770 = 897,770/x
  3. Step 3: Cross multiply
    610,678x = 897,770 × 897,770
  4. Step 4: Simplify right side
    610,678x = 805,990,972,900
  5. Step 5: Solve for x
    x = 805,990,972,900/610,678
  6. Step 6: Final answer
    x = 1,319,829.72

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Why These Related Problems?

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