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Finding the Third Proportional to 145,572 and 318,299

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Solution

The third proportional to 145,572 and 318,299 is: 695,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,572 : 318,299 = 318,299 : x
  2. Step 2: Convert to fraction form
    145,572/318,299 = 318,299/x
  3. Step 3: Cross multiply
    145,572x = 318,299 × 318,299
  4. Step 4: Simplify right side
    145,572x = 101,314,253,401
  5. Step 5: Solve for x
    x = 101,314,253,401/145,572
  6. Step 6: Final answer
    x = 695,973.49

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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.