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Finding the Third Proportional to 623,498 and 939,459

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Solution

The third proportional to 623,498 and 939,459 is: 1,415,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,498 : 939,459 = 939,459 : x
  2. Step 2: Convert to fraction form
    623,498/939,459 = 939,459/x
  3. Step 3: Cross multiply
    623,498x = 939,459 × 939,459
  4. Step 4: Simplify right side
    623,498x = 882,583,212,681
  5. Step 5: Solve for x
    x = 882,583,212,681/623,498
  6. Step 6: Final answer
    x = 1,415,534.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.