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Finding the Third Proportional to 161,402,800.50 and 256,949,050.50

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Solution

The third proportional to 161,402,800.50 and 256,949,050.50 is: 409,056,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,402,800.50 : 256,949,050.50 = 256,949,050.50 : x
  2. Step 2: Convert to fraction form
    161,402,800.50/256,949,050.50 = 256,949,050.50/x
  3. Step 3: Cross multiply
    161,402,800.50x = 256,949,050.50 × 256,949,050.50
  4. Step 4: Simplify right side
    161,402,800.50x = 66,022,814,552,851,552
  5. Step 5: Solve for x
    x = 66,022,814,552,851,552/161,402,800.50
  6. Step 6: Final answer
    x = 409,056,189.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.