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Finding the Third Proportional to 310,417.31 and 444,712.78

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Solution

The third proportional to 310,417.31 and 444,712.78 is: 637,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,417.31 : 444,712.78 = 444,712.78 : x
  2. Step 2: Convert to fraction form
    310,417.31/444,712.78 = 444,712.78/x
  3. Step 3: Cross multiply
    310,417.31x = 444,712.78 × 444,712.78
  4. Step 4: Simplify right side
    310,417.31x = 197,769,457,807.11
  5. Step 5: Solve for x
    x = 197,769,457,807.11/310,417.31
  6. Step 6: Final answer
    x = 637,108.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.