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Finding the Third Proportional to 289,354 and 460,438

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Solution

The third proportional to 289,354 and 460,438 is: 732,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,354 : 460,438 = 460,438 : x
  2. Step 2: Convert to fraction form
    289,354/460,438 = 460,438/x
  3. Step 3: Cross multiply
    289,354x = 460,438 × 460,438
  4. Step 4: Simplify right side
    289,354x = 212,003,151,844
  5. Step 5: Solve for x
    x = 212,003,151,844/289,354
  6. Step 6: Final answer
    x = 732,677.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.