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Finding the Third Proportional to 389,430 and 841,139

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Solution

The third proportional to 389,430 and 841,139 is: 1,816,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,430 : 841,139 = 841,139 : x
  2. Step 2: Convert to fraction form
    389,430/841,139 = 841,139/x
  3. Step 3: Cross multiply
    389,430x = 841,139 × 841,139
  4. Step 4: Simplify right side
    389,430x = 707,514,817,321
  5. Step 5: Solve for x
    x = 707,514,817,321/389,430
  6. Step 6: Final answer
    x = 1,816,795.87

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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.