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Finding the Third Proportional to 840,830 and 1,305,528

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Solution

The third proportional to 840,830 and 1,305,528 is: 2,027,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,830 : 1,305,528 = 1,305,528 : x
  2. Step 2: Convert to fraction form
    840,830/1,305,528 = 1,305,528/x
  3. Step 3: Cross multiply
    840,830x = 1,305,528 × 1,305,528
  4. Step 4: Simplify right side
    840,830x = 1,704,403,358,784
  5. Step 5: Solve for x
    x = 1,704,403,358,784/840,830
  6. Step 6: Final answer
    x = 2,027,048.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.