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Finding the Third Proportional to 460,197 and 984,362

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Solution

The third proportional to 460,197 and 984,362 is: 2,105,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,197 : 984,362 = 984,362 : x
  2. Step 2: Convert to fraction form
    460,197/984,362 = 984,362/x
  3. Step 3: Cross multiply
    460,197x = 984,362 × 984,362
  4. Step 4: Simplify right side
    460,197x = 968,968,547,044
  5. Step 5: Solve for x
    x = 968,968,547,044/460,197
  6. Step 6: Final answer
    x = 2,105,551.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.