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Finding the Third Proportional to 316,884 and 688,416

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Solution

The third proportional to 316,884 and 688,416 is: 1,495,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,884 : 688,416 = 688,416 : x
  2. Step 2: Convert to fraction form
    316,884/688,416 = 688,416/x
  3. Step 3: Cross multiply
    316,884x = 688,416 × 688,416
  4. Step 4: Simplify right side
    316,884x = 473,916,589,056
  5. Step 5: Solve for x
    x = 473,916,589,056/316,884
  6. Step 6: Final answer
    x = 1,495,552.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.