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Finding the Third Proportional to 507,120 and 725,136

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Solution

The third proportional to 507,120 and 725,136 is: 1,036,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,120 : 725,136 = 725,136 : x
  2. Step 2: Convert to fraction form
    507,120/725,136 = 725,136/x
  3. Step 3: Cross multiply
    507,120x = 725,136 × 725,136
  4. Step 4: Simplify right side
    507,120x = 525,822,218,496
  5. Step 5: Solve for x
    x = 525,822,218,496/507,120
  6. Step 6: Final answer
    x = 1,036,879.28

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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.