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Finding the Third Proportional to 523,128 and 740,431.50

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Solution

The third proportional to 523,128 and 740,431.50 is: 1,048,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,128 : 740,431.50 = 740,431.50 : x
  2. Step 2: Convert to fraction form
    523,128/740,431.50 = 740,431.50/x
  3. Step 3: Cross multiply
    523,128x = 740,431.50 × 740,431.50
  4. Step 4: Simplify right side
    523,128x = 548,238,806,192.25
  5. Step 5: Solve for x
    x = 548,238,806,192.25/523,128
  6. Step 6: Final answer
    x = 1,048,001.27

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.