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Finding the Third Proportional to 315,340 and 689,363

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Solution

The third proportional to 315,340 and 689,363 is: 1,507,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,340 : 689,363 = 689,363 : x
  2. Step 2: Convert to fraction form
    315,340/689,363 = 689,363/x
  3. Step 3: Cross multiply
    315,340x = 689,363 × 689,363
  4. Step 4: Simplify right side
    315,340x = 475,221,345,769
  5. Step 5: Solve for x
    x = 475,221,345,769/315,340
  6. Step 6: Final answer
    x = 1,507,012.58

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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.