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Finding the Third Proportional to 319,949,979.75 and 477,828,365.63

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Solution

The third proportional to 319,949,979.75 and 477,828,365.63 is: 713,611,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,949,979.75 : 477,828,365.63 = 477,828,365.63 : x
  2. Step 2: Convert to fraction form
    319,949,979.75/477,828,365.63 = 477,828,365.63/x
  3. Step 3: Cross multiply
    319,949,979.75x = 477,828,365.63 × 477,828,365.63
  4. Step 4: Simplify right side
    319,949,979.75x = 228,319,946,995,858,688
  5. Step 5: Solve for x
    x = 228,319,946,995,858,688/319,949,979.75
  6. Step 6: Final answer
    x = 713,611,381.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.