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Finding the Third Proportional to 342,785 and 742,776.50

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Solution

The third proportional to 342,785 and 742,776.50 is: 1,609,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,785 : 742,776.50 = 742,776.50 : x
  2. Step 2: Convert to fraction form
    342,785/742,776.50 = 742,776.50/x
  3. Step 3: Cross multiply
    342,785x = 742,776.50 × 742,776.50
  4. Step 4: Simplify right side
    342,785x = 551,716,928,952.25
  5. Step 5: Solve for x
    x = 551,716,928,952.25/342,785
  6. Step 6: Final answer
    x = 1,609,513.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.