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Finding the Third Proportional to 306,880,512 and 657,291,072

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Solution

The third proportional to 306,880,512 and 657,291,072 is: 1,407,816,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,880,512 : 657,291,072 = 657,291,072 : x
  2. Step 2: Convert to fraction form
    306,880,512/657,291,072 = 657,291,072/x
  3. Step 3: Cross multiply
    306,880,512x = 657,291,072 × 657,291,072
  4. Step 4: Simplify right side
    306,880,512x = 432,031,553,330,909,184
  5. Step 5: Solve for x
    x = 432,031,553,330,909,184/306,880,512
  6. Step 6: Final answer
    x = 1,407,816,842.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.