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Finding the Third Proportional to 119,732,704 and 258,154,416.50

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Solution

The third proportional to 119,732,704 and 258,154,416.50 is: 556,604,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,732,704 : 258,154,416.50 = 258,154,416.50 : x
  2. Step 2: Convert to fraction form
    119,732,704/258,154,416.50 = 258,154,416.50/x
  3. Step 3: Cross multiply
    119,732,704x = 258,154,416.50 × 258,154,416.50
  4. Step 4: Simplify right side
    119,732,704x = 66,643,702,758,455,472
  5. Step 5: Solve for x
    x = 66,643,702,758,455,472/119,732,704
  6. Step 6: Final answer
    x = 556,604,006.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.