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Finding the Third Proportional to 315,087.47 and 472,860.28

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Solution

The third proportional to 315,087.47 and 472,860.28 is: 709,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,087.47 : 472,860.28 = 472,860.28 : x
  2. Step 2: Convert to fraction form
    315,087.47/472,860.28 = 472,860.28/x
  3. Step 3: Cross multiply
    315,087.47x = 472,860.28 × 472,860.28
  4. Step 4: Simplify right side
    315,087.47x = 223,596,845,583.83
  5. Step 5: Solve for x
    x = 223,596,845,583.83/315,087.47
  6. Step 6: Final answer
    x = 709,634.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.