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Finding the Third Proportional to 345,310 and 754,664

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Solution

The third proportional to 345,310 and 754,664 is: 1,649,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,310 : 754,664 = 754,664 : x
  2. Step 2: Convert to fraction form
    345,310/754,664 = 754,664/x
  3. Step 3: Cross multiply
    345,310x = 754,664 × 754,664
  4. Step 4: Simplify right side
    345,310x = 569,517,752,896
  5. Step 5: Solve for x
    x = 569,517,752,896/345,310
  6. Step 6: Final answer
    x = 1,649,294.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.