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Finding the Third Proportional to 402,801.75 and 877,501.13

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Solution

The third proportional to 402,801.75 and 877,501.13 is: 1,911,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,801.75 : 877,501.13 = 877,501.13 : x
  2. Step 2: Convert to fraction form
    402,801.75/877,501.13 = 877,501.13/x
  3. Step 3: Cross multiply
    402,801.75x = 877,501.13 × 877,501.13
  4. Step 4: Simplify right side
    402,801.75x = 770,008,224,376.27
  5. Step 5: Solve for x
    x = 770,008,224,376.27/402,801.75
  6. Step 6: Final answer
    x = 1,911,630.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.