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Finding the Third Proportional to 312,020 and 608,488

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Solution

The third proportional to 312,020 and 608,488 is: 1,186,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,020 : 608,488 = 608,488 : x
  2. Step 2: Convert to fraction form
    312,020/608,488 = 608,488/x
  3. Step 3: Cross multiply
    312,020x = 608,488 × 608,488
  4. Step 4: Simplify right side
    312,020x = 370,257,646,144
  5. Step 5: Solve for x
    x = 370,257,646,144/312,020
  6. Step 6: Final answer
    x = 1,186,647.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.