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Finding the Third Proportional to 399,127.50 and 872,005.50

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Solution

The third proportional to 399,127.50 and 872,005.50 is: 1,905,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,127.50 : 872,005.50 = 872,005.50 : x
  2. Step 2: Convert to fraction form
    399,127.50/872,005.50 = 872,005.50/x
  3. Step 3: Cross multiply
    399,127.50x = 872,005.50 × 872,005.50
  4. Step 4: Simplify right side
    399,127.50x = 760,393,592,030.25
  5. Step 5: Solve for x
    x = 760,393,592,030.25/399,127.50
  6. Step 6: Final answer
    x = 1,905,139.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.