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Finding the Third Proportional to 289,535 and 645,490

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Solution

The third proportional to 289,535 and 645,490 is: 1,439,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,535 : 645,490 = 645,490 : x
  2. Step 2: Convert to fraction form
    289,535/645,490 = 645,490/x
  3. Step 3: Cross multiply
    289,535x = 645,490 × 645,490
  4. Step 4: Simplify right side
    289,535x = 416,657,340,100
  5. Step 5: Solve for x
    x = 416,657,340,100/289,535
  6. Step 6: Final answer
    x = 1,439,056.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.