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Finding the Third Proportional to 211,408,218 and 307,908,459

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Solution

The third proportional to 211,408,218 and 307,908,459 is: 448,457,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,408,218 : 307,908,459 = 307,908,459 : x
  2. Step 2: Convert to fraction form
    211,408,218/307,908,459 = 307,908,459/x
  3. Step 3: Cross multiply
    211,408,218x = 307,908,459 × 307,908,459
  4. Step 4: Simplify right side
    211,408,218x = 94,807,619,123,754,688
  5. Step 5: Solve for x
    x = 94,807,619,123,754,688/211,408,218
  6. Step 6: Final answer
    x = 448,457,586.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.