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Finding the Third Proportional to 145,392 and 311,488

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Solution

The third proportional to 145,392 and 311,488 is: 667,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,392 : 311,488 = 311,488 : x
  2. Step 2: Convert to fraction form
    145,392/311,488 = 311,488/x
  3. Step 3: Cross multiply
    145,392x = 311,488 × 311,488
  4. Step 4: Simplify right side
    145,392x = 97,024,774,144
  5. Step 5: Solve for x
    x = 97,024,774,144/145,392
  6. Step 6: Final answer
    x = 667,332.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.