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Finding the Third Proportional to 296,475.19 and 646,617.30

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Solution

The third proportional to 296,475.19 and 646,617.30 is: 1,410,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,475.19 : 646,617.30 = 646,617.30 : x
  2. Step 2: Convert to fraction form
    296,475.19/646,617.30 = 646,617.30/x
  3. Step 3: Cross multiply
    296,475.19x = 646,617.30 × 646,617.30
  4. Step 4: Simplify right side
    296,475.19x = 418,113,938,721.35
  5. Step 5: Solve for x
    x = 418,113,938,721.35/296,475.19
  6. Step 6: Final answer
    x = 1,410,283.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.