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Finding the Third Proportional to 342,693 and 512,065

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Solution

The third proportional to 342,693 and 512,065 is: 765,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,693 : 512,065 = 512,065 : x
  2. Step 2: Convert to fraction form
    342,693/512,065 = 512,065/x
  3. Step 3: Cross multiply
    342,693x = 512,065 × 512,065
  4. Step 4: Simplify right side
    342,693x = 262,210,564,225
  5. Step 5: Solve for x
    x = 262,210,564,225/342,693
  6. Step 6: Final answer
    x = 765,147.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.