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Finding the Third Proportional to 428,895 and 916,688

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Solution

The third proportional to 428,895 and 916,688 is: 1,959,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,895 : 916,688 = 916,688 : x
  2. Step 2: Convert to fraction form
    428,895/916,688 = 916,688/x
  3. Step 3: Cross multiply
    428,895x = 916,688 × 916,688
  4. Step 4: Simplify right side
    428,895x = 840,316,889,344
  5. Step 5: Solve for x
    x = 840,316,889,344/428,895
  6. Step 6: Final answer
    x = 1,959,260.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.