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Finding the Third Proportional to 163,538,142.75 and 358,851,681

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Solution

The third proportional to 163,538,142.75 and 358,851,681 is: 787,428,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,538,142.75 : 358,851,681 = 358,851,681 : x
  2. Step 2: Convert to fraction form
    163,538,142.75/358,851,681 = 358,851,681/x
  3. Step 3: Cross multiply
    163,538,142.75x = 358,851,681 × 358,851,681
  4. Step 4: Simplify right side
    163,538,142.75x = 128,774,528,956,525,760
  5. Step 5: Solve for x
    x = 128,774,528,956,525,760/163,538,142.75
  6. Step 6: Final answer
    x = 787,428,099.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.