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Finding the Third Proportional to 788,816 and 1,127,909

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Solution

The third proportional to 788,816 and 1,127,909 is: 1,612,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,816 : 1,127,909 = 1,127,909 : x
  2. Step 2: Convert to fraction form
    788,816/1,127,909 = 1,127,909/x
  3. Step 3: Cross multiply
    788,816x = 1,127,909 × 1,127,909
  4. Step 4: Simplify right side
    788,816x = 1,272,178,712,281
  5. Step 5: Solve for x
    x = 1,272,178,712,281/788,816
  6. Step 6: Final answer
    x = 1,612,769.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.