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Finding the Third Proportional to 543,486 and 798,610.50

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Solution

The third proportional to 543,486 and 798,610.50 is: 1,173,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,486 : 798,610.50 = 798,610.50 : x
  2. Step 2: Convert to fraction form
    543,486/798,610.50 = 798,610.50/x
  3. Step 3: Cross multiply
    543,486x = 798,610.50 × 798,610.50
  4. Step 4: Simplify right side
    543,486x = 637,778,730,710.25
  5. Step 5: Solve for x
    x = 637,778,730,710.25/543,486
  6. Step 6: Final answer
    x = 1,173,496.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.