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Finding the Third Proportional to 302,648 and 456,239

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Solution

The third proportional to 302,648 and 456,239 is: 687,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,648 : 456,239 = 456,239 : x
  2. Step 2: Convert to fraction form
    302,648/456,239 = 456,239/x
  3. Step 3: Cross multiply
    302,648x = 456,239 × 456,239
  4. Step 4: Simplify right side
    302,648x = 208,154,025,121
  5. Step 5: Solve for x
    x = 208,154,025,121/302,648
  6. Step 6: Final answer
    x = 687,775.98

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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.