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Finding the Third Proportional to 178,931,888 and 391,357,600

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Solution

The third proportional to 178,931,888 and 391,357,600 is: 855,972,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,931,888 : 391,357,600 = 391,357,600 : x
  2. Step 2: Convert to fraction form
    178,931,888/391,357,600 = 391,357,600/x
  3. Step 3: Cross multiply
    178,931,888x = 391,357,600 × 391,357,600
  4. Step 4: Simplify right side
    178,931,888x = 153,160,771,077,760,000
  5. Step 5: Solve for x
    x = 153,160,771,077,760,000/178,931,888
  6. Step 6: Final answer
    x = 855,972,475.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.