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Finding the Third Proportional to 292,302 and 428,085

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Solution

The third proportional to 292,302 and 428,085 is: 626,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,302 : 428,085 = 428,085 : x
  2. Step 2: Convert to fraction form
    292,302/428,085 = 428,085/x
  3. Step 3: Cross multiply
    292,302x = 428,085 × 428,085
  4. Step 4: Simplify right side
    292,302x = 183,256,767,225
  5. Step 5: Solve for x
    x = 183,256,767,225/292,302
  6. Step 6: Final answer
    x = 626,943.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.