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Finding the Third Proportional to 409,632 and 891,070

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Solution

The third proportional to 409,632 and 891,070 is: 1,938,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,632 : 891,070 = 891,070 : x
  2. Step 2: Convert to fraction form
    409,632/891,070 = 891,070/x
  3. Step 3: Cross multiply
    409,632x = 891,070 × 891,070
  4. Step 4: Simplify right side
    409,632x = 794,005,744,900
  5. Step 5: Solve for x
    x = 794,005,744,900/409,632
  6. Step 6: Final answer
    x = 1,938,339.16

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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.