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Finding the Third Proportional to 249,583,407.75 and 389,484,416.25

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Solution

The third proportional to 249,583,407.75 and 389,484,416.25 is: 607,805,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,583,407.75 : 389,484,416.25 = 389,484,416.25 : x
  2. Step 2: Convert to fraction form
    249,583,407.75/389,484,416.25 = 389,484,416.25/x
  3. Step 3: Cross multiply
    249,583,407.75x = 389,484,416.25 × 389,484,416.25
  4. Step 4: Simplify right side
    249,583,407.75x = 151,698,110,501,603,264
  5. Step 5: Solve for x
    x = 151,698,110,501,603,264/249,583,407.75
  6. Step 6: Final answer
    x = 607,805,269.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.