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Finding the Third Proportional to 921,572 and 2,020,291

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Solution

The third proportional to 921,572 and 2,020,291 is: 4,428,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,572 : 2,020,291 = 2,020,291 : x
  2. Step 2: Convert to fraction form
    921,572/2,020,291 = 2,020,291/x
  3. Step 3: Cross multiply
    921,572x = 2,020,291 × 2,020,291
  4. Step 4: Simplify right side
    921,572x = 4,081,575,724,681
  5. Step 5: Solve for x
    x = 4,081,575,724,681/921,572
  6. Step 6: Final answer
    x = 4,428,927.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.