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Finding the Third Proportional to 252,079.50 and 390,513

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Solution

The third proportional to 252,079.50 and 390,513 is: 604,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,079.50 : 390,513 = 390,513 : x
  2. Step 2: Convert to fraction form
    252,079.50/390,513 = 390,513/x
  3. Step 3: Cross multiply
    252,079.50x = 390,513 × 390,513
  4. Step 4: Simplify right side
    252,079.50x = 152,500,403,169
  5. Step 5: Solve for x
    x = 152,500,403,169/252,079.50
  6. Step 6: Final answer
    x = 604,969.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.