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Finding the Third Proportional to 316,258 and 492,531

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Solution

The third proportional to 316,258 and 492,531 is: 767,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,258 : 492,531 = 492,531 : x
  2. Step 2: Convert to fraction form
    316,258/492,531 = 492,531/x
  3. Step 3: Cross multiply
    316,258x = 492,531 × 492,531
  4. Step 4: Simplify right side
    316,258x = 242,586,785,961
  5. Step 5: Solve for x
    x = 242,586,785,961/316,258
  6. Step 6: Final answer
    x = 767,053.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.