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Finding the Third Proportional to 310,911 and 671,448

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Solution

The third proportional to 310,911 and 671,448 is: 1,450,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911 : 671,448 = 671,448 : x
  2. Step 2: Convert to fraction form
    310,911/671,448 = 671,448/x
  3. Step 3: Cross multiply
    310,911x = 671,448 × 671,448
  4. Step 4: Simplify right side
    310,911x = 450,842,416,704
  5. Step 5: Solve for x
    x = 450,842,416,704/310,911
  6. Step 6: Final answer
    x = 1,450,069.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.