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Finding the Third Proportional to 340,206 and 732,412.50

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Solution

The third proportional to 340,206 and 732,412.50 is: 1,576,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,206 : 732,412.50 = 732,412.50 : x
  2. Step 2: Convert to fraction form
    340,206/732,412.50 = 732,412.50/x
  3. Step 3: Cross multiply
    340,206x = 732,412.50 × 732,412.50
  4. Step 4: Simplify right side
    340,206x = 536,428,070,156.25
  5. Step 5: Solve for x
    x = 536,428,070,156.25/340,206
  6. Step 6: Final answer
    x = 1,576,774.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.