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Finding the Third Proportional to 423,521 and 911,923

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Solution

The third proportional to 423,521 and 911,923 is: 1,963,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,521 : 911,923 = 911,923 : x
  2. Step 2: Convert to fraction form
    423,521/911,923 = 911,923/x
  3. Step 3: Cross multiply
    423,521x = 911,923 × 911,923
  4. Step 4: Simplify right side
    423,521x = 831,603,557,929
  5. Step 5: Solve for x
    x = 831,603,557,929/423,521
  6. Step 6: Final answer
    x = 1,963,547.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.