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Finding the Third Proportional to 560,929.88 and 870,203.81

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Solution

The third proportional to 560,929.88 and 870,203.81 is: 1,349,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,929.88 : 870,203.81 = 870,203.81 : x
  2. Step 2: Convert to fraction form
    560,929.88/870,203.81 = 870,203.81/x
  3. Step 3: Cross multiply
    560,929.88x = 870,203.81 × 870,203.81
  4. Step 4: Simplify right side
    560,929.88x = 757,254,675,289.54
  5. Step 5: Solve for x
    x = 757,254,675,289.54/560,929.88
  6. Step 6: Final answer
    x = 1,349,998.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.