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Finding the Third Proportional to 645,772 and 886,470

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Solution

The third proportional to 645,772 and 886,470 is: 1,216,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,772 : 886,470 = 886,470 : x
  2. Step 2: Convert to fraction form
    645,772/886,470 = 886,470/x
  3. Step 3: Cross multiply
    645,772x = 886,470 × 886,470
  4. Step 4: Simplify right side
    645,772x = 785,829,060,900
  5. Step 5: Solve for x
    x = 785,829,060,900/645,772
  6. Step 6: Final answer
    x = 1,216,883.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.