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Finding the Third Proportional to 310,575,288 and 487,158,816

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Solution

The third proportional to 310,575,288 and 487,158,816 is: 764,142,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,575,288 : 487,158,816 = 487,158,816 : x
  2. Step 2: Convert to fraction form
    310,575,288/487,158,816 = 487,158,816/x
  3. Step 3: Cross multiply
    310,575,288x = 487,158,816 × 487,158,816
  4. Step 4: Simplify right side
    310,575,288x = 237,323,712,006,521,856
  5. Step 5: Solve for x
    x = 237,323,712,006,521,856/310,575,288
  6. Step 6: Final answer
    x = 764,142,290.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.