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Finding the Third Proportional to 216,901.13 and 469,995.75

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Solution

The third proportional to 216,901.13 and 469,995.75 is: 1,018,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,901.13 : 469,995.75 = 469,995.75 : x
  2. Step 2: Convert to fraction form
    216,901.13/469,995.75 = 469,995.75/x
  3. Step 3: Cross multiply
    216,901.13x = 469,995.75 × 469,995.75
  4. Step 4: Simplify right side
    216,901.13x = 220,896,005,018.06
  5. Step 5: Solve for x
    x = 220,896,005,018.06/216,901.13
  6. Step 6: Final answer
    x = 1,018,417.98

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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.