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Finding the Third Proportional to 389,770 and 841,712

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Solution

The third proportional to 389,770 and 841,712 is: 1,817,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,770 : 841,712 = 841,712 : x
  2. Step 2: Convert to fraction form
    389,770/841,712 = 841,712/x
  3. Step 3: Cross multiply
    389,770x = 841,712 × 841,712
  4. Step 4: Simplify right side
    389,770x = 708,479,090,944
  5. Step 5: Solve for x
    x = 708,479,090,944/389,770
  6. Step 6: Final answer
    x = 1,817,685.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.