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Finding the Third Proportional to 920,626 and 1,243,835

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Solution

The third proportional to 920,626 and 1,243,835 is: 1,680,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,626 : 1,243,835 = 1,243,835 : x
  2. Step 2: Convert to fraction form
    920,626/1,243,835 = 1,243,835/x
  3. Step 3: Cross multiply
    920,626x = 1,243,835 × 1,243,835
  4. Step 4: Simplify right side
    920,626x = 1,547,125,507,225
  5. Step 5: Solve for x
    x = 1,547,125,507,225/920,626
  6. Step 6: Final answer
    x = 1,680,514.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.