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Finding the Third Proportional to 78,316,697 and 165,969,387

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Solution

The third proportional to 78,316,697 and 165,969,387 is: 351,723,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,697 : 165,969,387 = 165,969,387 : x
  2. Step 2: Convert to fraction form
    78,316,697/165,969,387 = 165,969,387/x
  3. Step 3: Cross multiply
    78,316,697x = 165,969,387 × 165,969,387
  4. Step 4: Simplify right side
    78,316,697x = 27,545,837,421,155,768
  5. Step 5: Solve for x
    x = 27,545,837,421,155,768/78,316,697
  6. Step 6: Final answer
    x = 351,723,686.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.