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Finding the Third Proportional to 216,459 and 316,309.50

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Solution

The third proportional to 216,459 and 316,309.50 is: 462,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,459 : 316,309.50 = 316,309.50 : x
  2. Step 2: Convert to fraction form
    216,459/316,309.50 = 316,309.50/x
  3. Step 3: Cross multiply
    216,459x = 316,309.50 × 316,309.50
  4. Step 4: Simplify right side
    216,459x = 100,051,699,790.25
  5. Step 5: Solve for x
    x = 100,051,699,790.25/216,459
  6. Step 6: Final answer
    x = 462,220.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.