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Finding the Third Proportional to 487,390.50 and 727,029

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Solution

The third proportional to 487,390.50 and 727,029 is: 1,084,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,390.50 : 727,029 = 727,029 : x
  2. Step 2: Convert to fraction form
    487,390.50/727,029 = 727,029/x
  3. Step 3: Cross multiply
    487,390.50x = 727,029 × 727,029
  4. Step 4: Simplify right side
    487,390.50x = 528,571,166,841
  5. Step 5: Solve for x
    x = 528,571,166,841/487,390.50
  6. Step 6: Final answer
    x = 1,084,492.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.