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Finding the Third Proportional to 387,407.81 and 821,714.63

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Solution

The third proportional to 387,407.81 and 821,714.63 is: 1,742,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,407.81 : 821,714.63 = 821,714.63 : x
  2. Step 2: Convert to fraction form
    387,407.81/821,714.63 = 821,714.63/x
  3. Step 3: Cross multiply
    387,407.81x = 821,714.63 × 821,714.63
  4. Step 4: Simplify right side
    387,407.81x = 675,214,924,938.89
  5. Step 5: Solve for x
    x = 675,214,924,938.89/387,407.81
  6. Step 6: Final answer
    x = 1,742,904.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.