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Finding the Third Proportional to 316,710 and 491,133

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Solution

The third proportional to 316,710 and 491,133 is: 761,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,710 : 491,133 = 491,133 : x
  2. Step 2: Convert to fraction form
    316,710/491,133 = 491,133/x
  3. Step 3: Cross multiply
    316,710x = 491,133 × 491,133
  4. Step 4: Simplify right side
    316,710x = 241,211,623,689
  5. Step 5: Solve for x
    x = 241,211,623,689/316,710
  6. Step 6: Final answer
    x = 761,616.70

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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.