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Finding the Third Proportional to 371,308 and 812,168

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Solution

The third proportional to 371,308 and 812,168 is: 1,776,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,308 : 812,168 = 812,168 : x
  2. Step 2: Convert to fraction form
    371,308/812,168 = 812,168/x
  3. Step 3: Cross multiply
    371,308x = 812,168 × 812,168
  4. Step 4: Simplify right side
    371,308x = 659,616,860,224
  5. Step 5: Solve for x
    x = 659,616,860,224/371,308
  6. Step 6: Final answer
    x = 1,776,468.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.