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Finding the Third Proportional to 645,951 and 924,639

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Solution

The third proportional to 645,951 and 924,639 is: 1,323,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,951 : 924,639 = 924,639 : x
  2. Step 2: Convert to fraction form
    645,951/924,639 = 924,639/x
  3. Step 3: Cross multiply
    645,951x = 924,639 × 924,639
  4. Step 4: Simplify right side
    645,951x = 854,957,280,321
  5. Step 5: Solve for x
    x = 854,957,280,321/645,951
  6. Step 6: Final answer
    x = 1,323,563.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.