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Finding the Third Proportional to 438,849,964 and 643,726,548

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Solution

The third proportional to 438,849,964 and 643,726,548 is: 944,249,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,849,964 : 643,726,548 = 643,726,548 : x
  2. Step 2: Convert to fraction form
    438,849,964/643,726,548 = 643,726,548/x
  3. Step 3: Cross multiply
    438,849,964x = 643,726,548 × 643,726,548
  4. Step 4: Simplify right side
    438,849,964x = 414,383,868,599,996,288
  5. Step 5: Solve for x
    x = 414,383,868,599,996,288/438,849,964
  6. Step 6: Final answer
    x = 944,249,521.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.