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Finding the Third Proportional to 66,534,412.59 and 145,611,509.91

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Solution

The third proportional to 66,534,412.59 and 145,611,509.91 is: 318,672,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,534,412.59 : 145,611,509.91 = 145,611,509.91 : x
  2. Step 2: Convert to fraction form
    66,534,412.59/145,611,509.91 = 145,611,509.91/x
  3. Step 3: Cross multiply
    66,534,412.59x = 145,611,509.91 × 145,611,509.91
  4. Step 4: Simplify right side
    66,534,412.59x = 21,202,711,817,177,940
  5. Step 5: Solve for x
    x = 21,202,711,817,177,940/66,534,412.59
  6. Step 6: Final answer
    x = 318,672,864.02

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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.