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Finding the Third Proportional to 345,716 and 564,518

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Solution

The third proportional to 345,716 and 564,518 is: 921,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,716 : 564,518 = 564,518 : x
  2. Step 2: Convert to fraction form
    345,716/564,518 = 564,518/x
  3. Step 3: Cross multiply
    345,716x = 564,518 × 564,518
  4. Step 4: Simplify right side
    345,716x = 318,680,572,324
  5. Step 5: Solve for x
    x = 318,680,572,324/345,716
  6. Step 6: Final answer
    x = 921,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.