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Finding the Third Proportional to 312,122.81 and 472,712.63

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Solution

The third proportional to 312,122.81 and 472,712.63 is: 715,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,122.81 : 472,712.63 = 472,712.63 : x
  2. Step 2: Convert to fraction form
    312,122.81/472,712.63 = 472,712.63/x
  3. Step 3: Cross multiply
    312,122.81x = 472,712.63 × 472,712.63
  4. Step 4: Simplify right side
    312,122.81x = 223,457,225,834.39
  5. Step 5: Solve for x
    x = 223,457,225,834.39/312,122.81
  6. Step 6: Final answer
    x = 715,927.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.