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Finding the Third Proportional to 306,495,090 and 459,293,166

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Solution

The third proportional to 306,495,090 and 459,293,166 is: 688,266,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495,090 : 459,293,166 = 459,293,166 : x
  2. Step 2: Convert to fraction form
    306,495,090/459,293,166 = 459,293,166/x
  3. Step 3: Cross multiply
    306,495,090x = 459,293,166 × 459,293,166
  4. Step 4: Simplify right side
    306,495,090x = 210,950,212,334,303,552
  5. Step 5: Solve for x
    x = 210,950,212,334,303,552/306,495,090
  6. Step 6: Final answer
    x = 688,266,204.64

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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.