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Finding the Third Proportional to 151,389 and 318,461.63

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Solution

The third proportional to 151,389 and 318,461.63 is: 669,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,389 : 318,461.63 = 318,461.63 : x
  2. Step 2: Convert to fraction form
    151,389/318,461.63 = 318,461.63/x
  3. Step 3: Cross multiply
    151,389x = 318,461.63 × 318,461.63
  4. Step 4: Simplify right side
    151,389x = 101,417,806,597.64
  5. Step 5: Solve for x
    x = 101,417,806,597.64/151,389
  6. Step 6: Final answer
    x = 669,915.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.