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Finding the Third Proportional to 7,487,842 and 10,700,320

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Solution

The third proportional to 7,487,842 and 10,700,320 is: 15,291,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,842 : 10,700,320 = 10,700,320 : x
  2. Step 2: Convert to fraction form
    7,487,842/10,700,320 = 10,700,320/x
  3. Step 3: Cross multiply
    7,487,842x = 10,700,320 × 10,700,320
  4. Step 4: Simplify right side
    7,487,842x = 114,496,848,102,400
  5. Step 5: Solve for x
    x = 114,496,848,102,400/7,487,842
  6. Step 6: Final answer
    x = 15,291,034.20

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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.