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Finding the Third Proportional to 423,392 and 913,264

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Solution

The third proportional to 423,392 and 913,264 is: 1,969,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,392 : 913,264 = 913,264 : x
  2. Step 2: Convert to fraction form
    423,392/913,264 = 913,264/x
  3. Step 3: Cross multiply
    423,392x = 913,264 × 913,264
  4. Step 4: Simplify right side
    423,392x = 834,051,133,696
  5. Step 5: Solve for x
    x = 834,051,133,696/423,392
  6. Step 6: Final answer
    x = 1,969,926.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.