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Finding the Third Proportional to 310,080 and 465,115

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Solution

The third proportional to 310,080 and 465,115 is: 697,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,080 : 465,115 = 465,115 : x
  2. Step 2: Convert to fraction form
    310,080/465,115 = 465,115/x
  3. Step 3: Cross multiply
    310,080x = 465,115 × 465,115
  4. Step 4: Simplify right side
    310,080x = 216,331,963,225
  5. Step 5: Solve for x
    x = 216,331,963,225/310,080
  6. Step 6: Final answer
    x = 697,665.00

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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.