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Finding the Third Proportional to 391,912.50 and 572,746.50

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Solution

The third proportional to 391,912.50 and 572,746.50 is: 837,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,912.50 : 572,746.50 = 572,746.50 : x
  2. Step 2: Convert to fraction form
    391,912.50/572,746.50 = 572,746.50/x
  3. Step 3: Cross multiply
    391,912.50x = 572,746.50 × 572,746.50
  4. Step 4: Simplify right side
    391,912.50x = 328,038,553,262.25
  5. Step 5: Solve for x
    x = 328,038,553,262.25/391,912.50
  6. Step 6: Final answer
    x = 837,019.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.