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Finding the Third Proportional to 423,518.63 and 911,918.25

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Solution

The third proportional to 423,518.63 and 911,918.25 is: 1,963,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,518.63 : 911,918.25 = 911,918.25 : x
  2. Step 2: Convert to fraction form
    423,518.63/911,918.25 = 911,918.25/x
  3. Step 3: Cross multiply
    423,518.63x = 911,918.25 × 911,918.25
  4. Step 4: Simplify right side
    423,518.63x = 831,594,894,683.06
  5. Step 5: Solve for x
    x = 831,594,894,683.06/423,518.63
  6. Step 6: Final answer
    x = 1,963,537.95

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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.