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Finding the Third Proportional to 357,643.50 and 501,310.50

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Solution

The third proportional to 357,643.50 and 501,310.50 is: 702,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,643.50 : 501,310.50 = 501,310.50 : x
  2. Step 2: Convert to fraction form
    357,643.50/501,310.50 = 501,310.50/x
  3. Step 3: Cross multiply
    357,643.50x = 501,310.50 × 501,310.50
  4. Step 4: Simplify right side
    357,643.50x = 251,312,217,410.25
  5. Step 5: Solve for x
    x = 251,312,217,410.25/357,643.50
  6. Step 6: Final answer
    x = 702,689.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.