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Finding the Third Proportional to 427,587.75 and 575,931.44

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Solution

The third proportional to 427,587.75 and 575,931.44 is: 775,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,587.75 : 575,931.44 = 575,931.44 : x
  2. Step 2: Convert to fraction form
    427,587.75/575,931.44 = 575,931.44/x
  3. Step 3: Cross multiply
    427,587.75x = 575,931.44 × 575,931.44
  4. Step 4: Simplify right side
    427,587.75x = 331,697,020,700.82
  5. Step 5: Solve for x
    x = 331,697,020,700.82/427,587.75
  6. Step 6: Final answer
    x = 775,740.23

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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.