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Finding the Third Proportional to 631,012 and 1,368,490

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Solution

The third proportional to 631,012 and 1,368,490 is: 2,967,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,012 : 1,368,490 = 1,368,490 : x
  2. Step 2: Convert to fraction form
    631,012/1,368,490 = 1,368,490/x
  3. Step 3: Cross multiply
    631,012x = 1,368,490 × 1,368,490
  4. Step 4: Simplify right side
    631,012x = 1,872,764,880,100
  5. Step 5: Solve for x
    x = 1,872,764,880,100/631,012
  6. Step 6: Final answer
    x = 2,967,875.22

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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.