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Finding the Third Proportional to 429,543 and 631,165.50

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Solution

The third proportional to 429,543 and 631,165.50 is: 927,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,543 : 631,165.50 = 631,165.50 : x
  2. Step 2: Convert to fraction form
    429,543/631,165.50 = 631,165.50/x
  3. Step 3: Cross multiply
    429,543x = 631,165.50 × 631,165.50
  4. Step 4: Simplify right side
    429,543x = 398,369,888,390.25
  5. Step 5: Solve for x
    x = 398,369,888,390.25/429,543
  6. Step 6: Final answer
    x = 927,427.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.