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Finding the Third Proportional to 870,922 and 1,203,457

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Solution

The third proportional to 870,922 and 1,203,457 is: 1,662,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,922 : 1,203,457 = 1,203,457 : x
  2. Step 2: Convert to fraction form
    870,922/1,203,457 = 1,203,457/x
  3. Step 3: Cross multiply
    870,922x = 1,203,457 × 1,203,457
  4. Step 4: Simplify right side
    870,922x = 1,448,308,750,849
  5. Step 5: Solve for x
    x = 1,448,308,750,849/870,922
  6. Step 6: Final answer
    x = 1,662,960.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.