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Finding the Third Proportional to 909,098 and 1,977,358

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Solution

The third proportional to 909,098 and 1,977,358 is: 4,300,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,098 : 1,977,358 = 1,977,358 : x
  2. Step 2: Convert to fraction form
    909,098/1,977,358 = 1,977,358/x
  3. Step 3: Cross multiply
    909,098x = 1,977,358 × 1,977,358
  4. Step 4: Simplify right side
    909,098x = 3,909,944,660,164
  5. Step 5: Solve for x
    x = 3,909,944,660,164/909,098
  6. Step 6: Final answer
    x = 4,300,905.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.