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Finding the Third Proportional to 5,300,140 and 8,265,138

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Solution

The third proportional to 5,300,140 and 8,265,138 is: 12,888,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,140 : 8,265,138 = 8,265,138 : x
  2. Step 2: Convert to fraction form
    5,300,140/8,265,138 = 8,265,138/x
  3. Step 3: Cross multiply
    5,300,140x = 8,265,138 × 8,265,138
  4. Step 4: Simplify right side
    5,300,140x = 68,312,506,159,044
  5. Step 5: Solve for x
    x = 68,312,506,159,044/5,300,140
  6. Step 6: Final answer
    x = 12,888,811.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.