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Finding the Third Proportional to 145,438,076 and 219,665,312

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Solution

The third proportional to 145,438,076 and 219,665,312 is: 331,775,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438,076 : 219,665,312 = 219,665,312 : x
  2. Step 2: Convert to fraction form
    145,438,076/219,665,312 = 219,665,312/x
  3. Step 3: Cross multiply
    145,438,076x = 219,665,312 × 219,665,312
  4. Step 4: Simplify right side
    145,438,076x = 48,252,849,296,057,344
  5. Step 5: Solve for x
    x = 48,252,849,296,057,344/145,438,076
  6. Step 6: Final answer
    x = 331,775,905.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.