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Finding the Third Proportional to 648,875 and 867,967

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Solution

The third proportional to 648,875 and 867,967 is: 1,161,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,875 : 867,967 = 867,967 : x
  2. Step 2: Convert to fraction form
    648,875/867,967 = 867,967/x
  3. Step 3: Cross multiply
    648,875x = 867,967 × 867,967
  4. Step 4: Simplify right side
    648,875x = 753,366,713,089
  5. Step 5: Solve for x
    x = 753,366,713,089/648,875
  6. Step 6: Final answer
    x = 1,161,035.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.