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Finding the Third Proportional to 507,123.28 and 725,139.84

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Solution

The third proportional to 507,123.28 and 725,139.84 is: 1,036,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,123.28 : 725,139.84 = 725,139.84 : x
  2. Step 2: Convert to fraction form
    507,123.28/725,139.84 = 725,139.84/x
  3. Step 3: Cross multiply
    507,123.28x = 725,139.84 × 725,139.84
  4. Step 4: Simplify right side
    507,123.28x = 525,827,792,993.77
  5. Step 5: Solve for x
    x = 525,827,792,993.77/507,123.28
  6. Step 6: Final answer
    x = 1,036,883.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.