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Finding the Third Proportional to 316,896 and 688,440

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Solution

The third proportional to 316,896 and 688,440 is: 1,495,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,896 : 688,440 = 688,440 : x
  2. Step 2: Convert to fraction form
    316,896/688,440 = 688,440/x
  3. Step 3: Cross multiply
    316,896x = 688,440 × 688,440
  4. Step 4: Simplify right side
    316,896x = 473,949,633,600
  5. Step 5: Solve for x
    x = 473,949,633,600/316,896
  6. Step 6: Final answer
    x = 1,495,599.92

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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.