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Finding the Third Proportional to 316,979 and 465,765

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Solution

The third proportional to 316,979 and 465,765 is: 684,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,979 : 465,765 = 465,765 : x
  2. Step 2: Convert to fraction form
    316,979/465,765 = 465,765/x
  3. Step 3: Cross multiply
    316,979x = 465,765 × 465,765
  4. Step 4: Simplify right side
    316,979x = 216,937,035,225
  5. Step 5: Solve for x
    x = 216,937,035,225/316,979
  6. Step 6: Final answer
    x = 684,389.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.