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Finding the Third Proportional to 340,020 and 742,248

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Solution

The third proportional to 340,020 and 742,248 is: 1,620,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,020 : 742,248 = 742,248 : x
  2. Step 2: Convert to fraction form
    340,020/742,248 = 742,248/x
  3. Step 3: Cross multiply
    340,020x = 742,248 × 742,248
  4. Step 4: Simplify right side
    340,020x = 550,932,093,504
  5. Step 5: Solve for x
    x = 550,932,093,504/340,020
  6. Step 6: Final answer
    x = 1,620,293.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.