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Finding the Third Proportional to 285,710.63 and 608,418

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Solution

The third proportional to 285,710.63 and 608,418 is: 1,295,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,710.63 : 608,418 = 608,418 : x
  2. Step 2: Convert to fraction form
    285,710.63/608,418 = 608,418/x
  3. Step 3: Cross multiply
    285,710.63x = 608,418 × 608,418
  4. Step 4: Simplify right side
    285,710.63x = 370,172,462,724
  5. Step 5: Solve for x
    x = 370,172,462,724/285,710.63
  6. Step 6: Final answer
    x = 1,295,620.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.