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Finding the Third Proportional to 604,416 and 817,868

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Solution

The third proportional to 604,416 and 817,868 is: 1,106,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,416 : 817,868 = 817,868 : x
  2. Step 2: Convert to fraction form
    604,416/817,868 = 817,868/x
  3. Step 3: Cross multiply
    604,416x = 817,868 × 817,868
  4. Step 4: Simplify right side
    604,416x = 668,908,065,424
  5. Step 5: Solve for x
    x = 668,908,065,424/604,416
  6. Step 6: Final answer
    x = 1,106,701.45

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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.