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Finding the Third Proportional to 285,802.50 and 417,969

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Solution

The third proportional to 285,802.50 and 417,969 is: 611,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,802.50 : 417,969 = 417,969 : x
  2. Step 2: Convert to fraction form
    285,802.50/417,969 = 417,969/x
  3. Step 3: Cross multiply
    285,802.50x = 417,969 × 417,969
  4. Step 4: Simplify right side
    285,802.50x = 174,698,084,961
  5. Step 5: Solve for x
    x = 174,698,084,961/285,802.50
  6. Step 6: Final answer
    x = 611,254.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.