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Finding the Third Proportional to 302,307.19 and 456,862.78

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Solution

The third proportional to 302,307.19 and 456,862.78 is: 690,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,307.19 : 456,862.78 = 456,862.78 : x
  2. Step 2: Convert to fraction form
    302,307.19/456,862.78 = 456,862.78/x
  3. Step 3: Cross multiply
    302,307.19x = 456,862.78 × 456,862.78
  4. Step 4: Simplify right side
    302,307.19x = 208,723,600,891.49
  5. Step 5: Solve for x
    x = 208,723,600,891.49/302,307.19
  6. Step 6: Final answer
    x = 690,435.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.