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Finding the Third Proportional to 458,866.69 and 709,053.75

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Solution

The third proportional to 458,866.69 and 709,053.75 is: 1,095,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.69 : 709,053.75 = 709,053.75 : x
  2. Step 2: Convert to fraction form
    458,866.69/709,053.75 = 709,053.75/x
  3. Step 3: Cross multiply
    458,866.69x = 709,053.75 × 709,053.75
  4. Step 4: Simplify right side
    458,866.69x = 502,757,220,389.06
  5. Step 5: Solve for x
    x = 502,757,220,389.06/458,866.69
  6. Step 6: Final answer
    x = 1,095,649.86

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Why These Related Problems?

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