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Finding the Third Proportional to 261,315 and 572,451.75

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Solution

The third proportional to 261,315 and 572,451.75 is: 1,254,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,315 : 572,451.75 = 572,451.75 : x
  2. Step 2: Convert to fraction form
    261,315/572,451.75 = 572,451.75/x
  3. Step 3: Cross multiply
    261,315x = 572,451.75 × 572,451.75
  4. Step 4: Simplify right side
    261,315x = 327,701,006,078.06
  5. Step 5: Solve for x
    x = 327,701,006,078.06/261,315
  6. Step 6: Final answer
    x = 1,254,045.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.