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Finding the Third Proportional to 310,518 and 668,602.50

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Solution

The third proportional to 310,518 and 668,602.50 is: 1,439,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,518 : 668,602.50 = 668,602.50 : x
  2. Step 2: Convert to fraction form
    310,518/668,602.50 = 668,602.50/x
  3. Step 3: Cross multiply
    310,518x = 668,602.50 × 668,602.50
  4. Step 4: Simplify right side
    310,518x = 447,029,303,006.25
  5. Step 5: Solve for x
    x = 447,029,303,006.25/310,518
  6. Step 6: Final answer
    x = 1,439,624.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.