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Finding the Third Proportional to 313,849 and 402,973.50

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Solution

The third proportional to 313,849 and 402,973.50 is: 517,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,849 : 402,973.50 = 402,973.50 : x
  2. Step 2: Convert to fraction form
    313,849/402,973.50 = 402,973.50/x
  3. Step 3: Cross multiply
    313,849x = 402,973.50 × 402,973.50
  4. Step 4: Simplify right side
    313,849x = 162,387,641,702.25
  5. Step 5: Solve for x
    x = 162,387,641,702.25/313,849
  6. Step 6: Final answer
    x = 517,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.