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Finding the Third Proportional to 572,315.50 and 911,009

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Solution

The third proportional to 572,315.50 and 911,009 is: 1,450,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,315.50 : 911,009 = 911,009 : x
  2. Step 2: Convert to fraction form
    572,315.50/911,009 = 911,009/x
  3. Step 3: Cross multiply
    572,315.50x = 911,009 × 911,009
  4. Step 4: Simplify right side
    572,315.50x = 829,937,398,081
  5. Step 5: Solve for x
    x = 829,937,398,081/572,315.50
  6. Step 6: Final answer
    x = 1,450,139.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.