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Finding the Third Proportional to 316,612.13 and 693,457.88

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Solution

The third proportional to 316,612.13 and 693,457.88 is: 1,518,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,612.13 : 693,457.88 = 693,457.88 : x
  2. Step 2: Convert to fraction form
    316,612.13/693,457.88 = 693,457.88/x
  3. Step 3: Cross multiply
    316,612.13x = 693,457.88 × 693,457.88
  4. Step 4: Simplify right side
    316,612.13x = 480,883,824,399.52
  5. Step 5: Solve for x
    x = 480,883,824,399.52/316,612.13
  6. Step 6: Final answer
    x = 1,518,842.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.