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Finding the Third Proportional to 345,709.50 and 750,459

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Solution

The third proportional to 345,709.50 and 750,459 is: 1,629,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,709.50 : 750,459 = 750,459 : x
  2. Step 2: Convert to fraction form
    345,709.50/750,459 = 750,459/x
  3. Step 3: Cross multiply
    345,709.50x = 750,459 × 750,459
  4. Step 4: Simplify right side
    345,709.50x = 563,188,710,681
  5. Step 5: Solve for x
    x = 563,188,710,681/345,709.50
  6. Step 6: Final answer
    x = 1,629,080.81

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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.