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Finding the Third Proportional to 68,653,140 and 103,618,146

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Solution

The third proportional to 68,653,140 and 103,618,146 is: 156,390,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,653,140 : 103,618,146 = 103,618,146 : x
  2. Step 2: Convert to fraction form
    68,653,140/103,618,146 = 103,618,146/x
  3. Step 3: Cross multiply
    68,653,140x = 103,618,146 × 103,618,146
  4. Step 4: Simplify right side
    68,653,140x = 10,736,720,180,477,316
  5. Step 5: Solve for x
    x = 10,736,720,180,477,316/68,653,140
  6. Step 6: Final answer
    x = 156,390,810.10

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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.