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Finding the Third Proportional to 387,535.50 and 565,987.50

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Solution

The third proportional to 387,535.50 and 565,987.50 is: 826,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,535.50 : 565,987.50 = 565,987.50 : x
  2. Step 2: Convert to fraction form
    387,535.50/565,987.50 = 565,987.50/x
  3. Step 3: Cross multiply
    387,535.50x = 565,987.50 × 565,987.50
  4. Step 4: Simplify right side
    387,535.50x = 320,341,850,156.25
  5. Step 5: Solve for x
    x = 320,341,850,156.25/387,535.50
  6. Step 6: Final answer
    x = 826,612.92

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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.