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Finding the Third Proportional to 426,814.31 and 643,038.75

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Solution

The third proportional to 426,814.31 and 643,038.75 is: 968,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,814.31 : 643,038.75 = 643,038.75 : x
  2. Step 2: Convert to fraction form
    426,814.31/643,038.75 = 643,038.75/x
  3. Step 3: Cross multiply
    426,814.31x = 643,038.75 × 643,038.75
  4. Step 4: Simplify right side
    426,814.31x = 413,498,834,001.56
  5. Step 5: Solve for x
    x = 413,498,834,001.56/426,814.31
  6. Step 6: Final answer
    x = 968,802.64

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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.