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Finding the Third Proportional to 286,776 and 434,048

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Solution

The third proportional to 286,776 and 434,048 is: 656,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,776 : 434,048 = 434,048 : x
  2. Step 2: Convert to fraction form
    286,776/434,048 = 434,048/x
  3. Step 3: Cross multiply
    286,776x = 434,048 × 434,048
  4. Step 4: Simplify right side
    286,776x = 188,397,666,304
  5. Step 5: Solve for x
    x = 188,397,666,304/286,776
  6. Step 6: Final answer
    x = 656,950.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.