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Finding the Third Proportional to 509,386.50 and 689,346

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Solution

The third proportional to 509,386.50 and 689,346 is: 932,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,386.50 : 689,346 = 689,346 : x
  2. Step 2: Convert to fraction form
    509,386.50/689,346 = 689,346/x
  3. Step 3: Cross multiply
    509,386.50x = 689,346 × 689,346
  4. Step 4: Simplify right side
    509,386.50x = 475,197,907,716
  5. Step 5: Solve for x
    x = 475,197,907,716/509,386.50
  6. Step 6: Final answer
    x = 932,882.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.