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Finding the Third Proportional to 315,343.50 and 689,370

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Solution

The third proportional to 315,343.50 and 689,370 is: 1,507,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,343.50 : 689,370 = 689,370 : x
  2. Step 2: Convert to fraction form
    315,343.50/689,370 = 689,370/x
  3. Step 3: Cross multiply
    315,343.50x = 689,370 × 689,370
  4. Step 4: Simplify right side
    315,343.50x = 475,230,996,900
  5. Step 5: Solve for x
    x = 475,230,996,900/315,343.50
  6. Step 6: Final answer
    x = 1,507,026.45

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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.