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Finding the Third Proportional to 648,207 and 981,254.25

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Solution

The third proportional to 648,207 and 981,254.25 is: 1,485,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,207 : 981,254.25 = 981,254.25 : x
  2. Step 2: Convert to fraction form
    648,207/981,254.25 = 981,254.25/x
  3. Step 3: Cross multiply
    648,207x = 981,254.25 × 981,254.25
  4. Step 4: Simplify right side
    648,207x = 962,859,903,143.06
  5. Step 5: Solve for x
    x = 962,859,903,143.06/648,207
  6. Step 6: Final answer
    x = 1,485,420.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.