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Finding the Third Proportional to 870,590 and 1,232,985

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Solution

The third proportional to 870,590 and 1,232,985 is: 1,746,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,590 : 1,232,985 = 1,232,985 : x
  2. Step 2: Convert to fraction form
    870,590/1,232,985 = 1,232,985/x
  3. Step 3: Cross multiply
    870,590x = 1,232,985 × 1,232,985
  4. Step 4: Simplify right side
    870,590x = 1,520,252,010,225
  5. Step 5: Solve for x
    x = 1,520,252,010,225/870,590
  6. Step 6: Final answer
    x = 1,746,231.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.