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Finding the Third Proportional to 870,120 and 1,225,344

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Solution

The third proportional to 870,120 and 1,225,344 is: 1,725,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,120 : 1,225,344 = 1,225,344 : x
  2. Step 2: Convert to fraction form
    870,120/1,225,344 = 1,225,344/x
  3. Step 3: Cross multiply
    870,120x = 1,225,344 × 1,225,344
  4. Step 4: Simplify right side
    870,120x = 1,501,467,918,336
  5. Step 5: Solve for x
    x = 1,501,467,918,336/870,120
  6. Step 6: Final answer
    x = 1,725,587.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.