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Finding the Third Proportional to 615,512.25 and 920,804.63

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Solution

The third proportional to 615,512.25 and 920,804.63 is: 1,377,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,512.25 : 920,804.63 = 920,804.63 : x
  2. Step 2: Convert to fraction form
    615,512.25/920,804.63 = 920,804.63/x
  3. Step 3: Cross multiply
    615,512.25x = 920,804.63 × 920,804.63
  4. Step 4: Simplify right side
    615,512.25x = 847,881,157,421.39
  5. Step 5: Solve for x
    x = 847,881,157,421.39/615,512.25
  6. Step 6: Final answer
    x = 1,377,521.17

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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.