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Finding the Third Proportional to 218,709 and 316,075.50

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Solution

The third proportional to 218,709 and 316,075.50 is: 456,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709 : 316,075.50 = 316,075.50 : x
  2. Step 2: Convert to fraction form
    218,709/316,075.50 = 316,075.50/x
  3. Step 3: Cross multiply
    218,709x = 316,075.50 × 316,075.50
  4. Step 4: Simplify right side
    218,709x = 99,903,721,700.25
  5. Step 5: Solve for x
    x = 99,903,721,700.25/218,709
  6. Step 6: Final answer
    x = 456,788.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.