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Finding the Third Proportional to 64,266,376 and 97,905,407

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Solution

The third proportional to 64,266,376 and 97,905,407 is: 149,152,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,266,376 : 97,905,407 = 97,905,407 : x
  2. Step 2: Convert to fraction form
    64,266,376/97,905,407 = 97,905,407/x
  3. Step 3: Cross multiply
    64,266,376x = 97,905,407 × 97,905,407
  4. Step 4: Simplify right side
    64,266,376x = 9,585,468,719,835,648
  5. Step 5: Solve for x
    x = 9,585,468,719,835,648/64,266,376
  6. Step 6: Final answer
    x = 149,152,158.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.