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Finding the Third Proportional to 245,723.63 and 370,840.78

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Solution

The third proportional to 245,723.63 and 370,840.78 is: 559,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,723.63 : 370,840.78 = 370,840.78 : x
  2. Step 2: Convert to fraction form
    245,723.63/370,840.78 = 370,840.78/x
  3. Step 3: Cross multiply
    245,723.63x = 370,840.78 × 370,840.78
  4. Step 4: Simplify right side
    245,723.63x = 137,522,885,038.11
  5. Step 5: Solve for x
    x = 137,522,885,038.11/245,723.63
  6. Step 6: Final answer
    x = 559,664.89

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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.