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Finding the Third Proportional to 315,396 and 424,953

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Solution

The third proportional to 315,396 and 424,953 is: 572,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,396 : 424,953 = 424,953 : x
  2. Step 2: Convert to fraction form
    315,396/424,953 = 424,953/x
  3. Step 3: Cross multiply
    315,396x = 424,953 × 424,953
  4. Step 4: Simplify right side
    315,396x = 180,585,052,209
  5. Step 5: Solve for x
    x = 180,585,052,209/315,396
  6. Step 6: Final answer
    x = 572,566.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.