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Finding the Third Proportional to 389,473 and 849,090

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Solution

The third proportional to 389,473 and 849,090 is: 1,851,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,473 : 849,090 = 849,090 : x
  2. Step 2: Convert to fraction form
    389,473/849,090 = 849,090/x
  3. Step 3: Cross multiply
    389,473x = 849,090 × 849,090
  4. Step 4: Simplify right side
    389,473x = 720,953,828,100
  5. Step 5: Solve for x
    x = 720,953,828,100/389,473
  6. Step 6: Final answer
    x = 1,851,100.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.