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Finding the Third Proportional to 369,072 and 569,376

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Solution

The third proportional to 369,072 and 569,376 is: 878,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,072 : 569,376 = 569,376 : x
  2. Step 2: Convert to fraction form
    369,072/569,376 = 569,376/x
  3. Step 3: Cross multiply
    369,072x = 569,376 × 569,376
  4. Step 4: Simplify right side
    369,072x = 324,189,029,376
  5. Step 5: Solve for x
    x = 324,189,029,376/369,072
  6. Step 6: Final answer
    x = 878,389.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.