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Finding the Third Proportional to 258,472.50 and 558,457.50

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Solution

The third proportional to 258,472.50 and 558,457.50 is: 1,206,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,472.50 : 558,457.50 = 558,457.50 : x
  2. Step 2: Convert to fraction form
    258,472.50/558,457.50 = 558,457.50/x
  3. Step 3: Cross multiply
    258,472.50x = 558,457.50 × 558,457.50
  4. Step 4: Simplify right side
    258,472.50x = 311,874,779,306.25
  5. Step 5: Solve for x
    x = 311,874,779,306.25/258,472.50
  6. Step 6: Final answer
    x = 1,206,607.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.