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Finding the Third Proportional to 286,128,898.50 and 619,803,565.50

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Solution

The third proportional to 286,128,898.50 and 619,803,565.50 is: 1,342,599,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,128,898.50 : 619,803,565.50 = 619,803,565.50 : x
  2. Step 2: Convert to fraction form
    286,128,898.50/619,803,565.50 = 619,803,565.50/x
  3. Step 3: Cross multiply
    286,128,898.50x = 619,803,565.50 × 619,803,565.50
  4. Step 4: Simplify right side
    286,128,898.50x = 384,156,459,806,512,768
  5. Step 5: Solve for x
    x = 384,156,459,806,512,768/286,128,898.50
  6. Step 6: Final answer
    x = 1,342,599,303.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.