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Finding the Third Proportional to 509,438 and 785,541

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Solution

The third proportional to 509,438 and 785,541 is: 1,211,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,438 : 785,541 = 785,541 : x
  2. Step 2: Convert to fraction form
    509,438/785,541 = 785,541/x
  3. Step 3: Cross multiply
    509,438x = 785,541 × 785,541
  4. Step 4: Simplify right side
    509,438x = 617,074,662,681
  5. Step 5: Solve for x
    x = 617,074,662,681/509,438
  6. Step 6: Final answer
    x = 1,211,285.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.