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Finding the Third Proportional to 380,712,665 and 513,670,776

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Solution

The third proportional to 380,712,665 and 513,670,776 is: 693,062,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712,665 : 513,670,776 = 513,670,776 : x
  2. Step 2: Convert to fraction form
    380,712,665/513,670,776 = 513,670,776/x
  3. Step 3: Cross multiply
    380,712,665x = 513,670,776 × 513,670,776
  4. Step 4: Simplify right side
    380,712,665x = 263,857,666,116,442,176
  5. Step 5: Solve for x
    x = 263,857,666,116,442,176/380,712,665
  6. Step 6: Final answer
    x = 693,062,486.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.