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Finding the Third Proportional to 209,779,362 and 328,355,262

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Solution

The third proportional to 209,779,362 and 328,355,262 is: 513,955,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,779,362 : 328,355,262 = 328,355,262 : x
  2. Step 2: Convert to fraction form
    209,779,362/328,355,262 = 328,355,262/x
  3. Step 3: Cross multiply
    209,779,362x = 328,355,262 × 328,355,262
  4. Step 4: Simplify right side
    209,779,362x = 107,817,178,083,088,640
  5. Step 5: Solve for x
    x = 107,817,178,083,088,640/209,779,362
  6. Step 6: Final answer
    x = 513,955,124.35

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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.