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Finding the Third Proportional to 334,147.50 and 720,459

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Solution

The third proportional to 334,147.50 and 720,459 is: 1,553,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,147.50 : 720,459 = 720,459 : x
  2. Step 2: Convert to fraction form
    334,147.50/720,459 = 720,459/x
  3. Step 3: Cross multiply
    334,147.50x = 720,459 × 720,459
  4. Step 4: Simplify right side
    334,147.50x = 519,061,170,681
  5. Step 5: Solve for x
    x = 519,061,170,681/334,147.50
  6. Step 6: Final answer
    x = 1,553,389.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.