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Finding the Third Proportional to 78,100,603 and 162,665,537

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Solution

The third proportional to 78,100,603 and 162,665,537 is: 338,794,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,603 : 162,665,537 = 162,665,537 : x
  2. Step 2: Convert to fraction form
    78,100,603/162,665,537 = 162,665,537/x
  3. Step 3: Cross multiply
    78,100,603x = 162,665,537 × 162,665,537
  4. Step 4: Simplify right side
    78,100,603x = 26,460,076,927,498,368
  5. Step 5: Solve for x
    x = 26,460,076,927,498,368/78,100,603
  6. Step 6: Final answer
    x = 338,794,784.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.