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Finding the Third Proportional to 309,461,980.50 and 462,966,012

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Solution

The third proportional to 309,461,980.50 and 462,966,012 is: 692,613,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,461,980.50 : 462,966,012 = 462,966,012 : x
  2. Step 2: Convert to fraction form
    309,461,980.50/462,966,012 = 462,966,012/x
  3. Step 3: Cross multiply
    309,461,980.50x = 462,966,012 × 462,966,012
  4. Step 4: Simplify right side
    309,461,980.50x = 214,337,528,267,184,128
  5. Step 5: Solve for x
    x = 214,337,528,267,184,128/309,461,980.50
  6. Step 6: Final answer
    x = 692,613,444.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.