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Finding the Third Proportional to 917,221 and 1,389,683

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Solution

The third proportional to 917,221 and 1,389,683 is: 2,105,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,221 : 1,389,683 = 1,389,683 : x
  2. Step 2: Convert to fraction form
    917,221/1,389,683 = 1,389,683/x
  3. Step 3: Cross multiply
    917,221x = 1,389,683 × 1,389,683
  4. Step 4: Simplify right side
    917,221x = 1,931,218,840,489
  5. Step 5: Solve for x
    x = 1,931,218,840,489/917,221
  6. Step 6: Final answer
    x = 2,105,510.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.