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Finding the Third Proportional to 421,452 and 912,888

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Solution

The third proportional to 421,452 and 912,888 is: 1,977,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,452 : 912,888 = 912,888 : x
  2. Step 2: Convert to fraction form
    421,452/912,888 = 912,888/x
  3. Step 3: Cross multiply
    421,452x = 912,888 × 912,888
  4. Step 4: Simplify right side
    421,452x = 833,364,500,544
  5. Step 5: Solve for x
    x = 833,364,500,544/421,452
  6. Step 6: Final answer
    x = 1,977,365.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.