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Finding the Third Proportional to 148,952,358 and 232,480,894.50

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Solution

The third proportional to 148,952,358 and 232,480,894.50 is: 362,850,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,952,358 : 232,480,894.50 = 232,480,894.50 : x
  2. Step 2: Convert to fraction form
    148,952,358/232,480,894.50 = 232,480,894.50/x
  3. Step 3: Cross multiply
    148,952,358x = 232,480,894.50 × 232,480,894.50
  4. Step 4: Simplify right side
    148,952,358x = 54,047,366,307,520,128
  5. Step 5: Solve for x
    x = 54,047,366,307,520,128/148,952,358
  6. Step 6: Final answer
    x = 362,850,021.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.