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Finding the Third Proportional to 316,972 and 492,386

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Solution

The third proportional to 316,972 and 492,386 is: 764,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,972 : 492,386 = 492,386 : x
  2. Step 2: Convert to fraction form
    316,972/492,386 = 492,386/x
  3. Step 3: Cross multiply
    316,972x = 492,386 × 492,386
  4. Step 4: Simplify right side
    316,972x = 242,443,972,996
  5. Step 5: Solve for x
    x = 242,443,972,996/316,972
  6. Step 6: Final answer
    x = 764,875.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.