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Finding the Third Proportional to 316,264 and 492,540

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Solution

The third proportional to 316,264 and 492,540 is: 767,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,264 : 492,540 = 492,540 : x
  2. Step 2: Convert to fraction form
    316,264/492,540 = 492,540/x
  3. Step 3: Cross multiply
    316,264x = 492,540 × 492,540
  4. Step 4: Simplify right side
    316,264x = 242,595,651,600
  5. Step 5: Solve for x
    x = 242,595,651,600/316,264
  6. Step 6: Final answer
    x = 767,066.92

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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.