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Finding the Third Proportional to 287,120 and 670,624

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Solution

The third proportional to 287,120 and 670,624 is: 1,566,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,120 : 670,624 = 670,624 : x
  2. Step 2: Convert to fraction form
    287,120/670,624 = 670,624/x
  3. Step 3: Cross multiply
    287,120x = 670,624 × 670,624
  4. Step 4: Simplify right side
    287,120x = 449,736,549,376
  5. Step 5: Solve for x
    x = 449,736,549,376/287,120
  6. Step 6: Final answer
    x = 1,566,371.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.