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Finding the Third Proportional to 315,926 and 457,248

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Solution

The third proportional to 315,926 and 457,248 is: 661,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,926 : 457,248 = 457,248 : x
  2. Step 2: Convert to fraction form
    315,926/457,248 = 457,248/x
  3. Step 3: Cross multiply
    315,926x = 457,248 × 457,248
  4. Step 4: Simplify right side
    315,926x = 209,075,733,504
  5. Step 5: Solve for x
    x = 209,075,733,504/315,926
  6. Step 6: Final answer
    x = 661,787.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.