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Finding the Third Proportional to 292,304 and 428,088

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Solution

The third proportional to 292,304 and 428,088 is: 626,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,304 : 428,088 = 428,088 : x
  2. Step 2: Convert to fraction form
    292,304/428,088 = 428,088/x
  3. Step 3: Cross multiply
    292,304x = 428,088 × 428,088
  4. Step 4: Simplify right side
    292,304x = 183,259,335,744
  5. Step 5: Solve for x
    x = 183,259,335,744/292,304
  6. Step 6: Final answer
    x = 626,947.75

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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.