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Finding the Third Proportional to 390,441.50 and 590,579.50

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Solution

The third proportional to 390,441.50 and 590,579.50 is: 893,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,441.50 : 590,579.50 = 590,579.50 : x
  2. Step 2: Convert to fraction form
    390,441.50/590,579.50 = 590,579.50/x
  3. Step 3: Cross multiply
    390,441.50x = 590,579.50 × 590,579.50
  4. Step 4: Simplify right side
    390,441.50x = 348,784,145,820.25
  5. Step 5: Solve for x
    x = 348,784,145,820.25/390,441.50
  6. Step 6: Final answer
    x = 893,307.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.