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Finding the Third Proportional to 421,142 and 916,070

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Solution

The third proportional to 421,142 and 916,070 is: 1,992,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,142 : 916,070 = 916,070 : x
  2. Step 2: Convert to fraction form
    421,142/916,070 = 916,070/x
  3. Step 3: Cross multiply
    421,142x = 916,070 × 916,070
  4. Step 4: Simplify right side
    421,142x = 839,184,244,900
  5. Step 5: Solve for x
    x = 839,184,244,900/421,142
  6. Step 6: Final answer
    x = 1,992,639.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.