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Finding the Third Proportional to 7,678,800 and 11,506,428

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Solution

The third proportional to 7,678,800 and 11,506,428 is: 17,242,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,800 : 11,506,428 = 11,506,428 : x
  2. Step 2: Convert to fraction form
    7,678,800/11,506,428 = 11,506,428/x
  3. Step 3: Cross multiply
    7,678,800x = 11,506,428 × 11,506,428
  4. Step 4: Simplify right side
    7,678,800x = 132,397,885,319,184
  5. Step 5: Solve for x
    x = 132,397,885,319,184/7,678,800
  6. Step 6: Final answer
    x = 17,242,002.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.