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Finding the Third Proportional to 316,484.96 and 692,999.22

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Solution

The third proportional to 316,484.96 and 692,999.22 is: 1,517,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,484.96 : 692,999.22 = 692,999.22 : x
  2. Step 2: Convert to fraction form
    316,484.96/692,999.22 = 692,999.22/x
  3. Step 3: Cross multiply
    316,484.96x = 692,999.22 × 692,999.22
  4. Step 4: Simplify right side
    316,484.96x = 480,247,915,834.63
  5. Step 5: Solve for x
    x = 480,247,915,834.63/316,484.96
  6. Step 6: Final answer
    x = 1,517,443.11

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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.