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Finding the Third Proportional to 407,688 and 864,705

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Solution

The third proportional to 407,688 and 864,705 is: 1,834,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,688 : 864,705 = 864,705 : x
  2. Step 2: Convert to fraction form
    407,688/864,705 = 864,705/x
  3. Step 3: Cross multiply
    407,688x = 864,705 × 864,705
  4. Step 4: Simplify right side
    407,688x = 747,714,737,025
  5. Step 5: Solve for x
    x = 747,714,737,025/407,688
  6. Step 6: Final answer
    x = 1,834,036.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.