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Finding the Third Proportional to 323,541 and 688,574.25

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Solution

The third proportional to 323,541 and 688,574.25 is: 1,465,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,541 : 688,574.25 = 688,574.25 : x
  2. Step 2: Convert to fraction form
    323,541/688,574.25 = 688,574.25/x
  3. Step 3: Cross multiply
    323,541x = 688,574.25 × 688,574.25
  4. Step 4: Simplify right side
    323,541x = 474,134,497,763.06
  5. Step 5: Solve for x
    x = 474,134,497,763.06/323,541
  6. Step 6: Final answer
    x = 1,465,454.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.