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Finding the Third Proportional to 387,205.50 and 569,409

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Solution

The third proportional to 387,205.50 and 569,409 is: 837,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,205.50 : 569,409 = 569,409 : x
  2. Step 2: Convert to fraction form
    387,205.50/569,409 = 569,409/x
  3. Step 3: Cross multiply
    387,205.50x = 569,409 × 569,409
  4. Step 4: Simplify right side
    387,205.50x = 324,226,609,281
  5. Step 5: Solve for x
    x = 324,226,609,281/387,205.50
  6. Step 6: Final answer
    x = 837,350.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.